<p>We consider a degenerate nonlinear elliptic equation driven by the weighted <i>p</i>-Laplacian differential operator and a reaction consisting of a concave term and of a resonant perturbation. Using variational tools and critical groups, we show the existence of a nontrivial bounded solution.</p>

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A Degenerate Elliptic Equation with a Concave Term and a Resonant Perturbation

  • Jiangfeng Han,
  • Zhenhai Liu,
  • Nikolaos S. Papageorgiou

摘要

We consider a degenerate nonlinear elliptic equation driven by the weighted p-Laplacian differential operator and a reaction consisting of a concave term and of a resonant perturbation. Using variational tools and critical groups, we show the existence of a nontrivial bounded solution.