Multiple solutions for the fractional p-Laplacian with jumping reactions

Autor:	Silvia Frassu, Antonio Iannizzotto
Rok vydání:	2021
Předmět:	35P30 35R11 47H11 Mathematics - Analysis of PDEs Applied Mathematics Modeling and Simulation FOS: Mathematics Geometry and Topology Analysis of PDEs (math.AP)
DOI:	10.48550/arxiv.2104.01937
Popis:	We study a nonlinear elliptic equation driven by the degenerate fractional p-Laplacian, with Dirichlet type condition and a jumping reaction, i.e., (p-1)-linear both at infinity and at zero but with different slopes crossing the principal eigenvalue. Under two different sets of hypotheses, entailing different types of asymmetry, we prove the existence of at least two nontrivial solutions. Our method is based on degree theory for monotone operators and nonlinear fractional spectral theory. Comment: 22 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8de91588fac77b8a8d739255b6ec7d1 Zobrazit plný text záznamu