{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:46:58Z","timestamp":1777448818591,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2010,4,1]],"date-time":"2010-04-01T00:00:00Z","timestamp":1270080000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2010,4]]},"abstract":"<jats:p>Convergence to a single steady state is shown for non-negative and radially symmetric solutions to a diffusive Hamilton\u2013Jacobi equation with homogeneous Dirichlet boundary conditions, the diffusion being the p-Laplacian operator, p\u22652, and the source term a power of the norm of the gradient of u. As a first step, the radially symmetric and non-increasing stationary solutions are characterized.<\/jats:p>","DOI":"10.3233\/asy-2010-0981","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:11:23Z","timestamp":1575054683000},"page":"229-250","source":"Crossref","is-referenced-by-count":6,"title":["Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton\u2013Jacobi equation"],"prefix":"10.1177","volume":"67","author":[{"given":"Guy","family":"Barles","sequence":"first","affiliation":[{"name":"Laboratoire de Math\u00e9matiques et Physique Th\u00e9orique, CNRS UMR 6083, F\u00e9d\u00e9ration Denis Poisson, Universit\u00e9 Fran\u00e7ois Rabelais, Parc de Grandmont, F-37200 Tours, France. E-mail: Guy.Barles@lmpt.univ-tours.fr"}]},{"given":"Philippe","family":"Lauren\u00e7ot","sequence":"additional","affiliation":[{"name":"Institut de Math\u00e9matiques de Toulouse, CNRS UMR 5219, Universit\u00e9 de Toulouse, F-31062 Toulouse Cedex 9, France. E-mail: Philippe.Laurencot@math.univ-toulouse.fr"}]},{"given":"Christian","family":"Stinner","sequence":"additional","affiliation":[{"name":"Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, D-45117 Essen, Germany. E-mail: Christian.Stinner@uni-due.de"}]}],"member":"179","published-online":{"date-parts":[[2010,4,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-0981","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-0981","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:04Z","timestamp":1777379944000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2010-0981"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,4]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2010,4]]}},"alternative-id":["10.3233\/ASY-2010-0981"],"URL":"https:\/\/doi.org\/10.3233\/asy-2010-0981","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,4]]}}}