The sub-supersolution method and extremal solutions of quasilinear elliptic equations in Orlicz-Sobolev spaces

DOI10.1155/2018/8104901zbMath1400.35123OpenAlexW2886905933MaRDI QIDQ1671183

Ge Dong, Xiao Chun Fang

Publication date: 6 September 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/8104901

zbMATH Keywords

quasilinear elliptic equationOrlicz-Sobolev spacesDirichlet condition

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) Quasilinear elliptic equations (35J62)

Related Items (4)

Existence and regularity results for nonlinear elliptic equations in Orlicz spaces ⋮ Barrier solutions of elliptic differential equations in Musielak-Orlicz-Sobolev spaces ⋮ On the minimal solutions of variational inequalities in Orlicz-Sobolev spaces ⋮ Positive solutions to nonlinear inclusion problems in Orlicz–Sobolev spaces

Cites Work

• Differential equations of divergence form in separable Musielak-Orlicz-Sobolev spaces
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