首页 | 本学科首页   官方微博 | 高级检索  
     


New concentration phenomena for a class of radial fully nonlinear equations
Affiliation:1. Dipartimento di Matematica, Sapienza Università di Roma, P.le Aldo Moro 2, 00185 Roma, Italy;2. Département de Mathématique, Université Libre de Bruxelles, Campus de la Plaine - CP214 boulevard du Triomphe, 1050, Bruxelles, Belgium;1. Università degli Studi di Torino & Collegio Carlo Alberto, Department of Economics and Statistics, Corso Unione Sovietica, 218/bis, 10134 Torino, Italy;2. Université de Bourgogne Franche-Comté, Laboratoire de Mathématiques, CNRS UMR 6623, 16, route de Gray, 25030 Besançon Cedex, France;3. Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland;1. Technische Universität Darmstadt, Fachbereich Mathematik, D-64289 Darmstadt, Germany;2. Universität Leipzig, Mathematisches Institut,D-04109 Leipzig, Germany;1. CNRS and Departamento de Ingeniería Matemática DIM, Universidad de Chile, Chile;1. Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan, ROC;2. Institute of Mathematics, Academic Sinica, Taipei 10617, Taiwan, ROC;3. Department of Mathematics, Stanford University, CA 94305, USA
Abstract:We study radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems in a ball, driven by the extremal Pucci's operators and with a power nonlinear term. We first determine a new critical exponent related to the existence or nonexistence of such solutions. Then we analyze the asymptotic behavior of the radial nodal solutions as the exponents approach the critical values, showing that new concentration phenomena occur. Finally we define a suitable weighted energy for these solutions and compute its limit value.
Keywords:Fully nonlinear Dirichlet problems  Radial solutions  Critical exponents  Sign-changing solutions  Asymptotic analysis
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号