Nodal solutions for nonlinear nonhomogeneous Robin problems
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

Abstract
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 ▫$C^1(\overline{\Omega})$▫-norm.

Language: English nodal solutions, indefinite potential, nonhomogeneous differential operator, nonlinear regularity theory, truncation and cut-off techniques Article (dk_c) 1.01 - Original Scientific Article PEF - Faculty of Education 2018 str. 721-738 Vol. 29, iss. 4 517.956 1120-6330 10.4171/RLM/831 18514777 270 260 (0 votes) Voting is allowed only to logged in users. AddThis uses cookies that require your consent. Edit consent...

## Record is a part of a journal

Title: Atti della Accademia nazionale dei Lincei Atti Accad. naz. Lincei, Rend. Lincei, Mat. appl. Accademia nazionale dei Lincei, EMS Publishing House 1120-6330 15928665