English

Nodal solutions for nonlinear nonhomogeneous Robin problems

Analysis of PDEs 2019-01-07 v1

Abstract

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 C1(Ω)C^1(\overline{\Omega})-norm.

Keywords

Cite

@article{arxiv.1901.01168,
  title  = {Nodal solutions for nonlinear nonhomogeneous Robin problems},
  author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
  journal= {arXiv preprint arXiv:1901.01168},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1811.04417

R2 v1 2026-06-23T07:03:15.921Z