Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity-Reference-Cited by-同舟云学术

Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity

Published:2015-12-04 Issue:1 Volume:16 Page:51-65
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Marano Salvatore A.¹,Mosconi Sunra J. N.¹,Papageorgiou Nikolaos S.²

Affiliation:

1. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

2. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece

Abstract

Abstract The existence of multiple solutions to a Dirichlet problem involving the ( p , q )

${(p,q)}$

-Laplacian is investigated via variational methods, truncation-comparison techniques, and Morse theory. The involved reaction term is resonant at infinity with respect to the first eigenvalue of - Δ p

${-\Delta_{p}}$

in W 0 1 , p ⁢ ( Ω )

${W^{1,p}_{0}(\Omega)}$

and exhibits a concave behavior near zero.

Funder

GNAMPA, INdAM

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2015-5011/pdf

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