Existence and uniqueness for nonlinear elliptic equations with unbounded coefficients

DOI10.1007/s11587-014-0202-zzbMath1304.35283OpenAlexW2004046508MaRDI QIDQ480437

Gabriella Zecca, Teresa Radice

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-014-0202-z

zbMATH Keywords

Dirichlet problembounded mean oscillationinfinite energy solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (12)

On optimal \(L^1\)-control in coefficients for quasi-linear Dirichlet boundary value problems with \textit{BMO}-anisotropic \(p\)-Laplacian ⋮ Noncoercive quasilinear elliptic operators with singular lower order terms ⋮ Nonlinear parabolic inequalities in Lebesgue-Sobolev spaces with variable exponent ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ On optimal controls in coefficients for ill-posed non-linear elliptic Dirichlet boundary value problems ⋮ Very weak solutions to elliptic equations with singular convection term ⋮ Analysis of a nonlinear reaction-diffusion system of the FitzHugh-Nagumo type with Robin boundary conditions ⋮ Embeddings between grand, small, and variable Lebesgue spaces ⋮ Sobolev-Zygmund solutions for nonlinear elliptic equations with growth coefficients in \textit{BMO} ⋮ A regularity result for a class of elliptic equations with lower order terms ⋮ An optimal control problem for some nonlinear elliptic equations with unbounded coefficients ⋮ On unbounded optimal controls in coefficients for ill-posed elliptic Dirichlet boundary value problems

Cites Work

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• On the continuity of solutions to degenerate elliptic equations in two dimensions
• Existence and uniqueness for nonlinear elliptic equations with lower-order terms
• An embedding theorem in Lorentz-Zygmund spaces
• Existence and stability results for renormalized solutions to noncoercive nonlinear elliptic equations with measure data
• On the integrability of the Jacobian under minimal hypotheses
• A remark on the equality \(\text{det} Df=\text{Det} Df\)
• Inverting the \(p\)-harmonic operator
• Non-coercive linear elliptic problems
• Degree theory of BMO. I: Compact manifolds without boundaries
• Regularity for solutions to nonlinear elliptic equations.
• Linear elliptic equations with lower order terms.
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Integral transforms and tensor products on Orlicz spaces and L(p,q) spaces
• Existence and uniqueness for elliptic equations with lower-order terms
• On functions of bounded mean oscillation
• Existence of renormalized solutions to nonlinear elliptic equations with two lower order terms and measure data
• Quasiharmonic fields.

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