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In this paper I discuss two questions on $p$ -Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to $- div (| \nabla u |^{p - 2} \nabla u) = μ$ with zero boundary values; here $μ$ is a Radon measure. The joining link between the problems is the use of equations involving measures.

Projections onto gradient fields and $L^{p}$ -estimates for degenerated elliptic operators

Tadeusz Iwaniec (1983)

Studia Mathematica

Propriétés asymptotiques des solutions d'équations simplement caractéristiques

G. Lachaud (1975/1976)

Séminaire Équations aux dérivées partielles (Polytechnique)

Propriétés des courbes intégrales de champs de vecteurs et estimations ponctuelles d'équation elliptiques dégénérés

B. Franchi (1983/1984)

Séminaire Équations aux dérivées partielles (Polytechnique)

Pseudo-monotonicity and degenerate elliptic operators of second order.

Akdim, Youssef, Azroul, Elhoussine (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Quasiderivatives and interior smoothness of harmonic functions associated with degenerate diffusion processes.

Krylov, N.V. (2004)

Electronic Journal of Probability [electronic only]

Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients

Salvatore Bonafede (1993)

Commentationes Mathematicae Universitatis Carolinae

We obtain an existence theorem for the problem (0.1) where the coefficients $a_{i j} (x, s)$ satisfy a degenerate ellipticity condition and hypotheses weaker than the continuity with respect to the variable $s$ .

Quasilinear degenerated equations with $L^{1}$ datum and without coercivity in perturbation terms.

Aharouch, L., Azroul, E., Benkirane, A. (2006)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Quasilinear elliptic problems with nonstandard growth.

Benboubker, Mohamed Badr, Azroul, Elhoussine, Barbara, Abdelkrim (2011)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities

W. B. Liu, John W. Barrett (1994)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^{1}$ and $C^{2}$ coefficients.

Dong, Hongjie, Krylov, Nicolai V. (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Régularité analytique pour des opérateurs elliptiques singuliers en un point

Mohamed Salah Baouendi, Johannes Sjöstrand (1974)

Journées équations aux dérivées partielles

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Displaying 281 – 300 of 453

Problèmes d'analyticité pour des opérateurs différentiels dégénérés ; applications

Problèmes d'analyticité pour des opérateurs différentiels dégénérés ; applications (fin)

Problemi semilineari ed integro-differenziali per Sublaplaciani

Problems involving $p$ -Laplacian type equations and measures

Problems involving $p$ -Laplacian type equations and measures

Projections onto gradient fields and $L^{p}$ -estimates for degenerated elliptic operators

Propriétés asymptotiques des solutions d'équations simplement caractéristiques

Propriétés des courbes intégrales de champs de vecteurs et estimations ponctuelles d'équation elliptiques dégénérés

Pseudo-monotonicity and degenerate elliptic operators of second order.

Quasiderivatives and interior smoothness of harmonic functions associated with degenerate diffusion processes.

Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients

Quasilinear degenerated equations with $L^{1}$ datum and without coercivity in perturbation terms.

Quasilinear elliptic problems with nonstandard growth.

Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities

Quelques propriétés des opérateurs maximaux associés à une classe d'opérateurs elliptiques et dégénérés

Radial minimizer of a $p$ -Ginzburg-Landau type functional with normal impurity inclusion.

Radial minimizers of a Ginzburg-Landau functional.

Rate of convergence for solutions to Dirichlet problems of quasilinear equations.

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^{1}$ and $C^{2}$ coefficients.

Régularité analytique pour des opérateurs elliptiques singuliers en un point

Currently displaying 281 – 300 of 453