This paper is devoted to the study of a nonlinear differential prob- lem involving the double phase operator with variable exponents and Robin boundary conditions with critical growth. In particular, exploiting a recent re- sult on a new equivalent norm in the Musielak-Orlicz Sobolev space, we obtain the existence of two nontrivial weak solutions through critical point theory.
Eleonora Amoroso, Valeria Morabito (2024). NONLINEAR ROBIN PROBLEMS WITH DOUBLE PHASE VARIABLE EXPONENT OPERATOR. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S [10.3934/dcdss.2024047].
NONLINEAR ROBIN PROBLEMS WITH DOUBLE PHASE VARIABLE EXPONENT OPERATOR
Eleonora Amoroso
;
2024-01-01
Abstract
This paper is devoted to the study of a nonlinear differential prob- lem involving the double phase operator with variable exponents and Robin boundary conditions with critical growth. In particular, exploiting a recent re- sult on a new equivalent norm in the Musielak-Orlicz Sobolev space, we obtain the existence of two nontrivial weak solutions through critical point theory.
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