PAIRS OF POSITIVE SOLUTIONS FOR RESONANT SINGULAR EQUATIONS WITH THE p-LAPLACIAN

作者：Papageorgiou Nikolaos S^*; Radulescu Vicentiu D; Repovs Dusan D

来源：Electronic Journal of Differential Equations, 2017, 249.

• Singular reaction
• resonance
• regularity
• positive solutions
• maximum principle
• mountain pass theorem

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 +infinity 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.

• 出版日期2017-10-6