We consider nonlinear, nonhomogeneous Robin problems with a (p - 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.
Papageorgiou N.S., Vetro C., Vetro F. (2019). Solutions and positive solutions for superlinear Robin problems. JOURNAL OF MATHEMATICAL PHYSICS, 60(10), 1-26 [10.1063/1.5118760].
Solutions and positive solutions for superlinear Robin problems
Vetro C.;
2019-01-01
Abstract
We consider nonlinear, nonhomogeneous Robin problems with a (p - 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.
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