Existence of multiple solutions to elliptic equations satisfying a global eigenvalue-crossing condition

Autor:	Duong Minh Duc, Loc Hoang Nguyen, Luc Nguyen
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Index of critical points mountain pass type nonlinear elliptic equations multiplicity of solutions Mathematics QA1-939
Zdroj:	Electronic Journal of Differential Equations, Vol 2013, Iss 145,, Pp 1-24 (2013)
Druh dokumentu:	article
ISSN:	1072-6691
Popis:	We study the multiplicity of solutions to the elliptic equation $Delta u+ f(x,u)=0$, under the assumption that f(x,u)/u crosses globally but not pointwise any eigenvalue for every x in a part of the domain, when u varies from $-infty$ to $infty$. Also we relax the conditions on uniform convergence of f(x,s)/s, which are essential in many results on multiplicity for asymptotically linear problems.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a3f0874cfc194538bc952d5e9412c07b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF