Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes

DOI10.1016/J.JDE.2024.08.006MaRDI QIDQ6644971

Abner J. Salgado, Tadele Mengesha, Enrique Otárola

Publication date: 28 November 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

nonlinear elliptic equationssingular sourcesweighted estimatesconvex domainsfinite element approximationsdiscrete stability

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems
• Weights, extrapolation and the theory of Rubio de Francia.
• Lebesgue and Sobolev spaces with variable exponents
• Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
• Elliptic operators, conormal derivatives and positive parts of functions (with an appendix by Haïm Brezis)
• Pathological solutions to elliptic problems in divergence form with continuous coefficients
• The Green function for uniformly elliptic equations
• Nonlinear potential theory and weighted Sobolev spaces
• Weighed estimates for nonlinear elliptic problems with Orlicz data
• Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients
• On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra
• The Green Function for Elliptic Systems in Two Dimensions
• Potential Space Estimates for Green Potentials in Convex Domains
• A Unified Theory for Some Non-Newtonian Fluids Under Singular Forcing
• Factorization Theory and A P Weights
• An Extrapolation Theorem in the Theory of A p Weights
• Weighted Sobolev spaces and embedding theorems
• The local regularity of solutions of degenerate elliptic equations
• Weakly Differentiable Functions
• Classical Fourier Analysis
• A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources
• The Mathematical Theory of Finite Element Methods
• Nonlinear partial differential equations with applications
• Pointwise gradient estimate of the ritz projection

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