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Parametric superlinear double phase problems with singular term and critical growth on the boundary

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 نشر من قبل Patrick Winkert
 تاريخ النشر 2021
  مجال البحث
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In this paper we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a nonlinear Neumann boundary condition of critical growth. Based on a new equivalent norm for Musielak-Orlicz Sobolev spaces and the Nehari manifold along with the fibering method we prove the existence of at least two weak solutions provided the parameter is sufficiently small.

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