Multiple Positive Solutions for a Class of Nonlinear Elliptic Eigenvalue Problems with a Sign-Changing Nonlinearity

Autor:	Carvalho, M. L., Goncalves, J. V., Silva, K. O.
Rok vydání:	2013
Předmět:	Mathematics - Analysis of PDEs 35B45 35J60 35J65
Druh dokumentu:	Working Paper
Popis:	In 2009 Loc and Schmitt established a result on sufficient conditions for multiplicity of solutions of a class of nonlinear eignvalue problems for the p-Laplace operator under Dirichlet boundary conditions, extending an earlier result of 1981 by Peter Hess for the Laplacian. Results on necessary conditions for existence were also established. In the present paper the authors extend the main results by Loc and Schmitt to the $\Phi$-Laplacian. To overcome the difficulties with this much more general operator it was necessary to employ regularity results by Lieberman, a strong maximum principle by Pucci and Serrin and a general result on lower and upper solutions by Le. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1310.5903 Zobrazit plný text záznamu View this record from Arxiv