This paper is devoted to the study of a nonlinear differential problem involving the double phase operator with variable exponents and Robin boundary conditions with critical growth. In particular, exploiting a recent result on a new equivalent norm in the Musielak-Orlicz Sobolev space, we obtain the existence of two nontrivial weak solutions through critical point theory.
Nonlinear Robin problems with double phase variable exponent operator
Eleonora Amoroso
;Valeria Morabito
2025-01-01
Abstract
This paper is devoted to the study of a nonlinear differential problem involving the double phase operator with variable exponents and Robin boundary conditions with critical growth. In particular, exploiting a recent result on a new equivalent norm in the Musielak-Orlicz Sobolev space, we obtain the existence of two nontrivial weak solutions through critical point theory.File in questo prodotto:
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