Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
Published 2019-01-03Version 1
We consider the nonlinear Robin problem driven by a nonhomogeneous differential operator plus an indefinite potential. The reaction term is a Carath\'eodory function satisfying certain conditions only near zero. Using suitable truncation, comparison, and cut-off techniques, we show that the problem has a sequence of nodal solutions converging to zero in the $C^1(\overline{\Omega})$-norm.
Comments: arXiv admin note: text overlap with arXiv:1811.04417
Journal: Rend. Lincei Mat. Appl. 29:4 (2018), 721-738
Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction
Ground state and nodal solutions for a class of double phase problems
Perturbations of nonlinear eigenvalue problems
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