Quasi-linear degenerate elliptic problems with \(L^1\) data

DOI10.1016/j.na.2004.09.027zbMath1274.35108OpenAlexW2024346620MaRDI QIDQ707043

Dominique Blanchard, François Désir, Olivier Guibé

Publication date: 9 February 2005

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.2004.09.027

zbMATH Keywords

existenceuniquenessdegenerate elliptic problemsintegrable data

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (13)

Homogenization of quasilinear elliptic problems with nonlinear Robin conditions and \(L^1\) data ⋮ Homogenization of a quasilinear elliptic problem in a two-component domain with \(L^1\) data ⋮ Existence and uniqueness of solutions for a class of doubly degenerate parabolic equations ⋮ Nonlinear elliptic boundary value problem with equivalued surface in a domain with thin layer ⋮ The Dirichlet problem for possibly singular elliptic equations with degenerate coercivity ⋮ Mathematical and numerical analysis of an acid-mediated cancer invasion model with nonlinear diffusion ⋮ Nonlinear equations with unbounded heat conduction and integrable data ⋮ Existence of solutions for some doubly degenerate parabolic equations with natural growth terms ⋮ Uniqueness of solutions for some elliptic equations with a quadratic gradient term ⋮ Existence of solutions for degenerate quasilinear elliptic equations ⋮ Uniqueness for elliptic problems with locally Lipschitz continuous dependence on the solution ⋮ Uniqueness for quasilinear elliptic problems in a two-component domain with \(L^1\) data ⋮ Existence of solutions for a class of porous medium type equations with lower order terms

Cites Work

• Mathematics in industrial problems. Part 9
• Nonlinear elliptic and parabolic equations involving measure data
• Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term.
• Uniqueness of solutions for some nonlinear Dirichlet problems
• Mathematical analysis of nonlinear models of petrol engineering
• On some nonlinear elliptic equations involving derivatives of the nonlinearity
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Résultats d'existence et d'unicité pour une classe de problèmes non linéaires et non coercifs
• Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems
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