Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential
Date
2018-06-18
Authors
Marano, Salvatore
Papageorgiou, Nikolaos S.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Four nontrivial smooth solutions to a Robin boundary-value problem with p-Laplacian, indefinite potential, and asymmetric nonlinearity super-linear at infinity are obtained, all with sign information. The semilinear case is also investigated, producing a nonzero fifth solution. Our proofs use variational methods, truncation techniques, and Morse theory.
Description
Keywords
Robin boundary condition, p-Laplacian, Indefinite potential, Asymmetric reaction, Superlinear at infinity, Resonance, Multiple solutions
Citation
Marano, S. A., & Papageorgiou, N. S. (2018). Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential. <i>Electronic Journal of Differential Equations, 2018</i>(127), pp. 1-21.
Rights
Attribution 4.0 International