On some nonlinear degenerate elliptic equations having a lower term in Musielak spaces

DOI10.1007/s43036-021-00182-xzbMath1485.35223OpenAlexW4206240341MaRDI QIDQ2669469

Mhamed Elmassoudi, Ahmed Aberqi, Abdelmoujib Benkirane

Publication date: 9 March 2022

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-021-00182-x

zbMATH Keywords

existence of bounded solutionsnonlinear degenerate elliptic equationsMusielak spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

A class of quasilinear and noncoercive elliptic problem in a two-component domain with \(L^1\) data ⋮ Nonnegative solution of a class of double phase problems with logarithmic nonlinearity

Cites Work

• Orlicz spaces and modular spaces
• Existence of solutions for degenerate quasilinear elliptic equations
• Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
• Estimates for solutions to nonlinear degenerate elliptic equations with lower order terms
• Some properties of Musielak spaces with only the log-Hölder continuity condition and application
• Existence of weak and renormalized solutions of degenerated elliptic equation
• Existence results for nonlinear elliptic equations with degenerate coercivity
• Variational inequalities in Orlicz-Sobolev spaces
• Some approximation properties in Orlicz-Sobolev spaces
• Some Elliptic Problems With Degenerate Coercivity
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