CPAA
Nodal solutions for the Robin p-Laplacian plus an indefinite potential and a general reaction term
Nikolaos S. Papageorgiou Vicenţiu D. Rǎdulescu Dušan D. Repovš
Communications on Pure & Applied Analysis 2018, 17(1): 231-241 doi: 10.3934/cpaa.2018014

We consider a nonlinear Robin problem driven by the p-Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with suitable truncation and perturbation techniques and comparison principles, we show that the problem admits a sequence of distinct smooth nodal solutions converging to zero in $C^1(\overline{Ω})$.

keywords: Robin p-Laplacian indefinite potential nodal solutions truncation techniques comparison principle

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