{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T21:01:24Z","timestamp":1648760484287},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2006,6,27]],"date-time":"2006-06-27T00:00:00Z","timestamp":1151366400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2006,10]]},"DOI":"10.1007\/s10898-006-9009-0","type":"journal-article","created":{"date-parts":[[2006,6,26]],"date-time":"2006-06-26T12:04:32Z","timestamp":1151323472000},"page":"283-305","source":"Crossref","is-referenced-by-count":5,"title":["Some Applications to Variational\u2013Hemivariational Inequalities of the Principle of Symmetric Criticality for Motreanu\u2013Panagiotopoulos Type Functionals"],"prefix":"10.1007","volume":"36","author":[{"given":"Hannelore","family":"Lisei","sequence":"first","affiliation":[]},{"given":"Csaba","family":"Varga","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,6,27]]},"reference":[{"key":"9009_CR1","unstructured":"Adams, R.A. (1975), Sobolev Spaces, Academic Press."},{"issue":"1\u20132","key":"9009_CR2","first-page":"25","volume":"29","author":"T. Bartsch","year":"2004","unstructured":"Bartsch T., Liu Z., Weth T. (2004), Sign changing solutions of superlinear Schr\u00f6dinger equations. Comm. Partial Diff. Equations 29 (1\u20132): 25\u201342","journal-title":"Comm. Partial Diff. Equations"},{"key":"9009_CR3","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1142\/S0219199701000494","volume":"4","author":"T. Bartsch","year":"2001","unstructured":"Bartsch T., Pankov A., Wang Z.-Q. (2001), Nonlinear Schr\u00f6dinger equations with steep potential well. Comm. Contemp. Math. 4, 549\u2013569","journal-title":"Comm. Contemp. Math."},{"key":"9009_CR4","doi-asserted-by":"crossref","first-page":"1725","DOI":"10.1080\/03605309508821149","volume":"20","author":"T. Bartsch","year":"1995","unstructured":"Bartsch T., Wang Z.-Q. (1995), Existence and multiplicity results for some superlinear elliptic problems in $$\\mathbb{R}$$ N . Comm. Partial Diff. Equations 20, 1725\u20131741","journal-title":"Comm. Partial Diff. Equations"},{"key":"9009_CR5","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1006\/jfan.1993.1133","volume":"117","author":"T. Bartsch","year":"1993","unstructured":"Bartsch T., Willem M. (1993), Infinitely many non-radial solutions of an Euclidean scalar field equation. J. Func. Anal. 117, 447\u2013460","journal-title":"J. Func. Anal."},{"issue":"3","key":"9009_CR6","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/BF00953069","volume":"124","author":"T. Bartsch","year":"1993","unstructured":"Bartsch T., Willem M. (1993), Infinitely many radial solutions of a semilinear elliptic problem on R N . Arch. Rational Mech. Anal. 124(3): 261\u2013276","journal-title":"Arch. Rational Mech. Anal."},{"key":"9009_CR7","unstructured":"Brezis, H. (1992), Analyse functionelle. Theorie et applications. Masson."},{"key":"9009_CR8","volume-title":"Les probl\u00e8mes non-lin\u00e9ares","author":"F.E. Browder","year":"1964","unstructured":"Browder F.E. (1964), Les probl\u00e8mes non-lin\u00e9ares. Les Presses de l\u2019Universit\u00e9 de, Montr\u00e9al"},{"key":"9009_CR9","unstructured":"Clarke, F.H. (1983), Optimization and Nonsmooth Analysis. Wiley."},{"key":"9009_CR10","first-page":"1","volume":"37","author":"Zs. D\u00e1lyai","year":"2004","unstructured":"D\u00e1lyai Zs., Varga Cs. (2004), An existence result for hemivariational inequalities. Electronic J. Differential Equations 37, 1\u201317","journal-title":"Electronic J. Differential Equations"},{"key":"9009_CR11","volume-title":"Nonsmooth critical point theory and nonlinear boundary value problems","author":"L. Gasi\u0144ski","year":"2005","unstructured":"Gasi\u0144ski L., Papageorgiou N.S. (2005), Nonsmooth critical point theory and nonlinear boundary value problems, Series in Mathematical Analysis and Applications, 8. Chapman & Hall\/CRC, Boca Raton, FL"},{"key":"9009_CR12","first-page":"47","volume":"13","author":"F. Gazzola","year":"2000","unstructured":"Gazzola F., R\u0103dulescu V. (2000), A nonsmooth critical point theory approach to some nonlinear elliptic equations in $$\\mathbb {R}$$ n . Diff. Integral Equations 13, 47\u201360","journal-title":"Diff. Integral Equations"},{"key":"9009_CR13","doi-asserted-by":"crossref","first-page":"1041","DOI":"10.1216\/rmjm\/1181073061","volume":"20","author":"W. Krawcewicz","year":"1990","unstructured":"Krawcewicz W., Marzantowicz W. (1990), Some remarks on the Lusternik- Schnirelman method for non-differentiable functionals invariant with respect to a finite group action. Rocky Mountain J. Math. 20, 1041\u20131049","journal-title":"Rocky Mountain J. Math."},{"key":"9009_CR14","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1016\/j.jfa.2004.04.006","volume":"214","author":"J. Kobayashi","year":"2004","unstructured":"Kobayashi J., \u00d4tani M. (2004), The principle of symmetric criticality for non-differentiable mappings. J. Funct. Anal. 214, 428\u2013449","journal-title":"J. Funct. Anal."},{"key":"9009_CR15","unstructured":"Kourogenis N.C., Papadrianos J., Papageorgiou, N.S. (2002), Extensions of nonsmooth critical point theory and applications. Atti Sem. Mat. Fis. Univ. Modena, L, 381\u2013414."},{"key":"9009_CR16","doi-asserted-by":"crossref","first-page":"1173","DOI":"10.1216\/rmjm\/1181069682","volume":"35","author":"A. Krist\u00e1ly","year":"2005","unstructured":"Krist\u00e1ly A. (2005), Infinitely many radial and non-radial solutions for a class of hemivariational inequalities. Rocky Mountain J. Math. 35, 1173\u20131190","journal-title":"Rocky Mountain J. Math."},{"key":"9009_CR17","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/s11228-004-6565-7","volume":"13","author":"A. Krist\u00e1ly","year":"2005","unstructured":"Krist\u00e1ly A. (2005), Multiplicity results for an eigenvalue problem for hemivariational inequalities in strip-like domains. Set-Valued Anal. 13, 85\u2013103","journal-title":"Set-Valued Anal."},{"key":"9009_CR18","doi-asserted-by":"crossref","unstructured":"Krist\u00e1ly, A., Varga, C. and Varga, V. A nonsmooth principle of symmetric criticality and variational-hemivariational inequalities. Journal of Mathematical Analysis and Applications (to appear).","DOI":"10.1016\/j.jmaa.2006.02.062"},{"key":"9009_CR19","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/S0362-546X(00)00171-1","volume":"48","author":"S. Marano","year":"2002","unstructured":"Marano S., Motreanu D. (2002), On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems. Nonlinear Anal. 48, 37\u201352","journal-title":"Nonlinear Anal."},{"key":"9009_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-4064-9","volume-title":"Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities","author":"D. Motreanu","year":"1999","unstructured":"Motreanu D., Panagiotopoulos P.D. (1999), Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities. Kluwer Academic Publishers, Dordrecht"},{"key":"9009_CR21","doi-asserted-by":"crossref","unstructured":"Motreanu, D. and R\u0103dulescu, V. (2003), Variational and non-variational methods in nonlinear analysis and boundary value problems. Nonconvex Optimization and its Applications, 67. Kluwer Academic Publishers, Dordrecht.","DOI":"10.1007\/978-1-4757-6921-0"},{"issue":"1","key":"9009_CR22","first-page":"1","volume":"19","author":"D.C. Morais Filho de","year":"2000","unstructured":"de Morais Filho D.C., Souto M.A.S., Marcos Do J. (2000), A compactness embedding lemma, a principle of symmetric criticality and applications to elliptic problems. Proyecciones, Universidad Catolica del Norte, Antofagasta\u2013Chile 19(1): 1\u201317","journal-title":"Proyecciones, Universidad Catolica del Norte, Antofagasta\u2013Chile"},{"key":"9009_CR23","volume-title":"Mathematical Theory of Hemivariational Inequalities and Applications","author":"Z. Naniewicz","year":"1995","unstructured":"Naniewicz Z., Panagiotopoulos P.D. (1995), Mathematical Theory of Hemivariational Inequalities and Applications. Marcel Dekker, New York"},{"key":"9009_CR24","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.1016\/S0362-546X(03)00105-6","volume":"54","author":"P. N\u00e1poli De","year":"2003","unstructured":"De N\u00e1poli P., Mariani M.C. (2003), Mountain pass solutions to equations of p-Laplacian type. Nonlinear Analysis 54, 1205\u20131219","journal-title":"Nonlinear Analysis"},{"key":"9009_CR25","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/BF01941322","volume":"69","author":"R.S. Palais","year":"1979","unstructured":"Palais R.S. (1979), The principle of symmetric criticality. Comm. Math. Phys. 69, 19\u201330","journal-title":"Comm. Math. Phys."},{"key":"9009_CR26","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-51677-1","volume-title":"Hemivariational Inequalities: Applications to Mechanics and Engineering","author":"P.D. Panagiotopoulos","year":"1993","unstructured":"Panagiotopoulos P.D. (1993), Hemivariational Inequalities: Applications to Mechanics and Engineering. Springer, New York"},{"key":"9009_CR27","doi-asserted-by":"crossref","first-page":"1485","DOI":"10.1016\/S0895-7177(00)00220-X","volume":"32","author":"B. Ricceri","year":"2000","unstructured":"Ricceri B. (2000), Existence of three solutions for a class of elliptic eigenvalue problems. Math. Comput. Modelling, 32, 1485\u20131494","journal-title":"Math. Comput. Modelling,"},{"key":"9009_CR28","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/BF01626517","volume":"55","author":"W.A. Strauss","year":"1977","unstructured":"Strauss W.A. (1977), Existence of solitary waves in higher dimensions. Comm. Math. Phys. 55, 149\u2013162","journal-title":"Comm. Math. Phys."},{"key":"9009_CR29","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/S0294-1449(16)30389-4","volume":"3","author":"A. Szulkin","year":"1986","unstructured":"Szulkin A. (1986), Minimax methods for lower semicontinuous functions and applications to nonlinear boundary value problems. Ann. Inst. Henri Poincar\u00e9 3, 77\u2013109","journal-title":"Ann. Inst. Henri Poincar\u00e9"},{"issue":"2","key":"9009_CR30","first-page":"89","volume":"9","author":"Cs. Varga","year":"2005","unstructured":"Varga Cs. (2005), Existence and infinitely many solutions for an abstract class of hemivariational inequalities. J. Inequalities Appl. 9(2): 89\u2013107","journal-title":"J. Inequalities Appl."},{"key":"9009_CR31","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4146-1","volume-title":"Minimax Theorems","author":"M. Willem","year":"1996","unstructured":"Willem M. (1996), Minimax Theorems. Birkh\u00e4user, Boston"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9009-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-006-9009-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9009-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T12:12:05Z","timestamp":1559304725000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-006-9009-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,6,27]]},"references-count":31,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2006,10]]}},"alternative-id":["9009"],"URL":"https:\/\/doi.org\/10.1007\/s10898-006-9009-0","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,6,27]]}}}