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
Journal ISSN
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.