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ELISABETTA TORNATORE

PARAMETRIC ROBIN DOUBLE PHASE PROBLEMS WITH CRITICAL GROWTH ON THE BOUNDARY

  • Authors: Giuseppina D'Aguì, Angela Sciammetta, Elisabetta Tornatore, Patrick Winkert
  • Publication year: 2023
  • Type: Articolo in rivista
  • OA Link: http://hdl.handle.net/10447/619153

Abstract

The aim of this paper is to study a double phase problem with nonlinear boundary condition of critical growth and with a superlinear righthand side that does not satisfy the Ambrosetti-Rabinowitz condition. Based on an equivalent norm in the Musielak-Orlicz Sobolev space along with variational tools and critical point theory, we prove the existence of at least two nontrivial, bounded weak solutions.