Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential
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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.
CitationMarano, S. A., & Papageorgiou, N. S. (2018). Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential. Electronic Journal of Differential Equations, 2018(127), pp. 1-21.
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