A new class of nonhomogeneous differential operator and applications to anisotropic systems

DOI10.1080/17476933.2015.1114614zbMath1341.35047OpenAlexW2339788847MaRDI QIDQ2811295

Maria-Magdalena Boureanu

Publication date: 10 June 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1114614

zbMATH Keywords

existenceuniquenessweak solutionscritical pointselliptic systemsanisotropic Sobolev spacesvariable exponentsnonhomogeneous differential operators

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) Equations involving nonlinear operators (general) (47J05) Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Boundary value problems for second-order elliptic systems (35J57)

Related Items (10)

Nonlinear eigenvalue problems for nonhomogeneous Leray-Lions operators ⋮ Existence of three solutions for equations of \(p(x)\)-Laplace type operators with nonlinear Neumann boundary conditions ⋮ A-priori bounds and existence for solutions of weighted elliptic equations with a convection term ⋮ Multiple solutions for two general classes of anisotropic systems with variable exponents ⋮ On Some Variable Exponent Problems with No-Flux Boundary Condition ⋮ Nonlinear degenerate Navier problem involving the weighted biharmonic operator with measure data in weighted Sobolev spaces ⋮ Anisotropic elliptic equations with gradient-dependent lower order terms and \(L^1\) data ⋮ Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions ⋮ Fine regularity for elliptic and parabolic anisotropic Robin problems with variable exponents ⋮ Fourth-order problems with Leray-Lions type operators in variable exponent spaces

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