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We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator plus an indefinite potential. The reaction term is a Carathéodory 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 -norm.
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Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš, Nodal solutions for nonlinear nonhomogeneous Robin problems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 4, pp. 721–738DOI 10.4171/RLM/831