Pairs of positive solutions for resonant singular equations with the p-Laplacian

Date

2017-10-06

Authors

Papageorgiou, Nikolaos S.
Radulescu, Vicentiu
Repovs, Dusan D.

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We consider a nonlinear elliptic equation driven by the Dirichlet p-Laplacian with a singular term and a (p-1)-linear perturbation which is resonant at +∞ with respect to the principal eigenvalue. Using variational tools, together with suitable truncation and comparison techniques, we show the existence of at least two positive smooth solutions.

Description

Keywords

Singular reaction, Resonance, Regularity, Positive solutions, Maximum principle, Mountain pass theorem

Citation

Papageorgiou, N. S., Rădulescu, V. D., & Repovš, D. D. (2017). Pairs of positive solutions for resonant singular equations with the p-Laplacian. <i>Electronic Journal of Differential Equations, 2017</i>(249), pp. 1-13.

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Attribution 4.0 International

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