Title

Positive solutions for resonant (p, q)-equations with concave terms

Abstract

We consider a parametric (p, q)-equation with competing nonlinearities in the reaction. There is a parametric concave term and a resonant Caratheordory perturbation. The resonance is with respect to the principal eigenvalue and occurs from the right. So the energy functional of the problem is indefinite. Using variational tools and truncation and comparison techniques we show that for all small values of the parameter the problem has at least two positive smooth solutions.

Document Type

Article

DOI

https://doi.org/10.3934/cpaa.2018125

Keywords

(p, And variational methods, Concave term, Nonlinear regularity theory, Q)-equation, Resonant term, Strong comparison principle

Publication Date

11-1-2018

Journal Title

Communications on Pure and Applied Analysis

Citation-only

Share

COinS