Nonhomogeneous multiparameter problems in Orlicz–Sobolev spaces
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DOI: 10.1002/mana.202100377
Abstract: This paper is concerned with the existence and multiplicity of solutions for a class of problems involving the Φ‐Laplacian operator with general assumptions on the nonlinearities, which include both semipositone cases and critical concave convex… read more here.
Keywords: problems orlicz; nonhomogeneous multiparameter; sobolev spaces; orlicz sobolev ... See more keywords
Gossez's approximation theorems in Musielak–Orlicz–Sobolev spaces
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DOI: 10.1016/j.jfa.2018.05.015
Abstract: We prove the density of smooth functions in the modular topology in the Musielak-Orlicz-Sobolev spaces essentially extending the results of Gossez \cite{GJP2} obtained in the Orlicz-Sobolev setting. We impose new systematic regularity assumption on $M$… read more here.
Keywords: orlicz sobolev; gossez approximation; musielak orlicz; sobolev spaces ... See more keywords
Continuity properties of weakly monotone Orlicz–Sobolev functions
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DOI: 10.1515/acv-2017-0065
Abstract: Abstract The notion of weakly monotone functions extends the classical definition of monotone function, that can be traced back to Lebesgue. It was introduced, in the framework of Sobolev spaces, by Manfredi, in connection with… read more here.
Keywords: weakly monotone; continuity properties; monotone; continuity ... See more keywords
Infinitely many solutions for non-homogeneous Neumann problems in Orlicz-Sobolev spaces
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DOI: 10.1515/ms-2017-0151
Abstract: Abstract By using variational methods and critical point theory in an appropriate Orlicz-Sobolev setting, the authors establish the existence of infinitely many non-negative weak solutions to a non-homogeneous Neumann problem. They also provide some particular… read more here.
Keywords: homogeneous neumann; infinitely many; orlicz sobolev; non homogeneous ... See more keywords