An existence theorem for weak solutions for a class of elliptic partial differential systems in general Orlicz-Sobolev spaces
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Publication:944766
DOI10.1016/j.na.2007.07.043zbMath1158.35354OpenAlexW2039126975MaRDI QIDQ944766
Publication date: 10 September 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.07.043
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Related Items (10)
Differential equations of divergence form in separable Musielak-Orlicz-Sobolev spaces ⋮ Quasilinear elliptic systems with nonlinear physical data ⋮ The sub-supersolution method and extremal solutions of quasilinear elliptic equations in Orlicz-Sobolev spaces ⋮ Quasilinear elliptic systems with nonstandard growth and weak monotonicity ⋮ Variational inequalities with multivalued lower order terms and convex functionals in Orlicz-Sobolev spaces ⋮ Barrier solutions of elliptic differential equations in Musielak-Orlicz-Sobolev spaces ⋮ Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces ⋮ On the minimal solutions of variational inequalities in Orlicz-Sobolev spaces ⋮ Positive solutions to nonlinear inclusion problems in Orlicz–Sobolev spaces ⋮ Existence and uniqueness of weak solutions for a non-uniformly parabolic equation
Cites Work
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- On Galerkin's method in the existence theory of quasilinear elliptic equations
- Quasilinear elliptic operators and weak solutions of the Euler equation
- On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
- On the existence of weak solutions for a class of elliptic partial differential systems
- 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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