The sub-supersolution method and extremal solutions of quasilinear elliptic equations in Orlicz-Sobolev spaces
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Publication:1671183
DOI10.1155/2018/8104901zbMath1400.35123OpenAlexW2886905933MaRDI QIDQ1671183
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
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
- Variational inequalities with multivalued lower order terms and convex functionals in Orlicz-Sobolev spaces
- Differential equations of divergence form in Musielak-Sobolev spaces and a sub-supersolution method
- Existence and multiplicity of solutions for quasilinear nonhomogeneous problems: an Orlicz-Sobolev space setting
- On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces
- An existence theorem for weak solutions for a class of elliptic partial differential systems in general Orlicz-Sobolev spaces
- Quasilinear elliptic operators and weak solutions of the Euler equation
- On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
- Extremal solutions and strong relaxation for nonlinear multivalued systems with maximal monotone terms
- Discrete comparison principles for quasilinear elliptic PDE
- Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces
- Existence results for nonlinear elliptic equations with Leray-Lions operator and dependence on the gradient
- An existence theorem for weak solutions for a class of elliptic partial differential systems in Orlicz spaces
- On variational and quasi-variational inequalities with multivalued lower order terms and convex functionals
- On the two obstacles problem in Orlicz–Sobolev spaces and applications
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
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