Anisotropic equations in \(L^ 1\)
From MaRDI portal
Publication:1906546
zbMath0838.35048MaRDI QIDQ1906546
Paolo Marcellini, Boccardo, Lucio, Thierry Gallouet
Publication date: 9 June 1996
Published in: Differential and Integral Equations (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) PDEs with low regular coefficients and/or low regular data (35R05)
Related Items (52)
Entropy solutions of Dirichlet problem for a class of degenerate anisotropic fourth-order equations with \(L ^{1}\)-right-hand sides ⋮ On the entropy solution to an elliptic problem in anisotropic Sobolev-Orlicz spaces ⋮ Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations ⋮ Global Integrability for Solutions to Obstacle Problems ⋮ Solvability of Dirichlet problem for a class of degenerate anisotropic equations with \(L^1\)-right-hand sides ⋮ Unnamed Item ⋮ Smallness and cancellation in some elliptic systems with measure data ⋮ A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ On entropy solutions of anisotropic elliptic equations with variable nonlinearity indices in unbounded domains ⋮ Regularity of the solution to nonlinear anisotropic elliptic equations with variable exponents and irregular data ⋮ Removable isolated singularities for solutions of anisotropic porous medium equation ⋮ Matrix-valued \(L^1\)-optimal controls in the coefficients of linear elliptic problems ⋮ On some \(\overrightarrow{p(x)}\) anisotropic elliptic equations in unbounded domain ⋮ Unnamed Item ⋮ Regularity under general and \(p,q\)-growth conditions ⋮ Entropy solutions of anisotropic elliptic nonlinear obstacle problem with measure data ⋮ Unnamed Item ⋮ Solvability of nonlinear anisotropic elliptic unilateral problems with variable exponent and measure data ⋮ Regularity for minimizing sequences of some variational integrals ⋮ On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease ⋮ Regularity for entropy solutions to degenerate elliptic equations with a convection term ⋮ Existence and uniqueness result for nonlinear anisotropic elliptic unilateral problems with variable exponent and measure data ⋮ Long time behaviour for solutions to a particular wave equation ⋮ Existence of entropy solutions of the anisotropic elliptic nonlinear problem with measure data in weighted Sobolev space ⋮ Weak optimal controls in coefficients for linear elliptic problems ⋮ Anisotropic elliptic problems with natural growth terms ⋮ Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces ⋮ Optimal \(L^1\)-control in coefficients for Dirichlet elliptic problems: \(W\)-optimal solutions ⋮ Optimality Conditions for $$L^1$$ L 1 -Control in Coefficients of a Degenerate Nonlinear Elliptic Equation ⋮ Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents ⋮ Unnamed Item ⋮ Existence and uniqueness for nonlinear anisotropic elliptic equations ⋮ Removable singularities for anisotropic elliptic equations ⋮ Global integrability for solutions to quasilinear elliptic systems ⋮ Integrability and boundedness of solutions to some anisotropic problems ⋮ Degenerate anisotropic variational inequalities with \(L^1\)-data ⋮ Anisotropic \(p\)-Laplacian evolution of fast diffusion type ⋮ Comparison estimates in anisotropic variational problems ⋮ Removability of isolated singularities for anisotropic elliptic equations with gradient absorption ⋮ Quasilinear elliptic systems with measure data ⋮ The blow-up of critical anisotropic equations with critical directions ⋮ Nonlinear anisotropic elliptic and parabolic equations in \(\mathbb R^{N}\) with advection and lower order terms and locally integrable data ⋮ Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems ⋮ Existence of entropic solutions of an elliptic problem in anisotropic Sobolev-Orlicz spaces ⋮ On the Existence of Weak Optimal Controls in the Coefficients for a Degenerate Anisotropic p-Laplacian ⋮ On the study of strongly parabolic problems involving anisotropic operators in \(L^1\) ⋮ Existence results for some nonlinear elliptic equations via topological degree methods ⋮ Existence of solutions for some quasilinear $\vec{p}(x)$-elliptic problem with Hardy potential ⋮ Fully anisotropic elliptic problems with minimally integrable data ⋮ Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces ⋮ Unnamed Item ⋮ Parabolic anisotropic problems with lower order terms and integrable data
This page was built for publication: Anisotropic equations in \(L^ 1\)
