Marano, SalvatorePapageorgiou, Nikolaos S.2022-02-142022-02-142018-06-18Marano, 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. 1-21.1072-6691https://hdl.handle.net/10877/15327Four 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.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalRobin boundary conditionp-LaplacianIndefinite potentialAsymmetric reactionSuperlinear at infinityResonanceMultiple solutionsArticle