Existence of renormalized solutions for some strongly nonlinear elliptic equations in Orlicz spaces

DOI10.1515/gmj-2015-0038zbMath1327.35091OpenAlexW2567078868MaRDI QIDQ495002

Mostafa El Moumni, Ahmed Youssfi, Abdelmoujib Benkirane, Azeddine Aissaoui Fqayeh

Publication date: 8 September 2015

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2015-0038

zbMATH Keywords

Orlicz-Sobolev spacesnonlinear elliptic equationsrenormalized solutions

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) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Related Items (11)

Existence of renomalized solution for nonlinear elliptic boundary value problem without \(\Delta_2\)-condition ⋮ Measure data elliptic problems with generalized Orlicz growth ⋮ Unnamed Item ⋮ Strongly nonlinear elliptic boundary value problems in Musielak-Orlicz spaces ⋮ Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space ⋮ Existence of solutions for a class of nonlinear elliptic problems with measure data in the setting of Musielak-Orlicz-Sobolev spaces ⋮ A strongly nonlinear elliptic problem with generalized growth in Musielak spaces ⋮ Existence results for a perturbed Dirichlet problem without sign condition in Orlicz spaces ⋮ Unnamed Item ⋮ Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces ⋮ Unnamed Item

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