Year: 2018
Type: article
Abstract: We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we impose conditions only near zero. Using variational methods, together with truncation and perturbation techniques and critical groups, we produce three nontrivial solutions with sign information. In the semilinear case we improve this result by obtaining a second nodal solution for a total of four nontrivial solutions. Finally, under a symmetry condition on the reaction term, we generate a whole sequence of distinct nodal solutions.
Authors: Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,890
Awards: Forsing, fuzija in kombinatorika odprtih pokritij (Slovene), Topology and its applications, Selected problems of nonlinear analysis, Analysis of continuous and discrete mathematical models in biology, chemistry and genetics, G4441201245, Zvezni in diskretni sistemi v nelinearni analizi (Slovene), G6375164715
OpenAlex ID: W2889821101