Nikolaos S. Papageorgiou, Vicentiu D. Radulescu, Dusan D. Repovs
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.
Submitted June 29, 2017. Published October 6, 2017.
Math Subject Classifications: 35J20, 35J25, 35J67.
Key Words: Singular reaction; resonance; regularity; positive solutions;
maximum principle; mountain pass theorem.
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| Nikolaos S. Papageorgiou National Technical University Department of Mathematics Zografou Campus, Athens 15780, Greece email: npapg@math.ntua.gr | |
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Vicentiu D. Radulescu Department of Mathematics, Faculty of Sciences King Abdulaziz University, P.O. Box 80203 Jeddah 21589, Saudi Arabia email: radulescu@inf.ucv.ro |
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Dusan D. Repovs Faculty of Education and Faculty of Mathematics and Physics University of Ljubljana SI-1000 Ljubljana, Slovenia email: dusan.repovs@guest.arnes.si |
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