Journal ArticleDOI
Boundary regularity for solutions of degenerate elliptic equations
Reads0
Chats0
TLDR
On etudie la regularite limite des solutions faibles de l'equation divA(x,u,Du)+B(x andu, Du) = 0 avec des conditions aux limites conormales et de Dirichlet.Abstract:
On etudie la regularite limite des solutions faibles de l'equation divA(x,u,Du)+B(x,u,Du)=0 avec des conditions aux limites conormales et de Dirichletread more
Citations
More filters
Journal ArticleDOI
On a quasilinear mean field equation with an exponential nonlinearity
TL;DR: In this paper, the mean field equation involving the N-Laplace operator and an exponential nonlinearity is considered in dimension N ≥ 2 on bounded domains with homogeneous Dirichlet boundary condition.
Journal ArticleDOI
Solutions and multiple solutions for problems with the p-Laplacian
TL;DR: In this paper, the authors consider two nonlinear elliptic problems driven by the p-Laplacian and having a nonsmooth potential (hemivariational inequalities) and prove a multiplicity result.
Posted Content
On the Harnack inequality for quasilinear elliptic equations with a first order term
TL;DR: In this paper, the Moser iteration technique was used to prove a strong Harnack comparison inequality for weak solutions to weak solutions, and a strong comparison principle was deduced.
Journal ArticleDOI
Nonlinear Dirichlet problems with a crossing reaction
TL;DR: In this article, the authors consider a nonlinear Dirichlet problem driven by the sum of a Laplacian and a sublinear reaction, and prove multiplicity results for a Caratheodory reaction producing two nontrivial solutions.
Journal ArticleDOI
Extremal and sign-changing solutions of supercritical logistic-type equations in \mathbb {R}^N
TL;DR: In this article, the authors prove the existence of constant-sign and sign-changing (weak) solutions of the following logistic-type equation in a rather weak setting regarding the regularity assumptions on the coefficients a, b and the growth condition on the nonlinear function g on the one hand, as well as the solution space on the other hand.
References
More filters
Book
Elliptic Partial Differential Equations of Second Order
David Gilbarg,Neil S. Trudinger +1 more
TL;DR: In this article, Leray-Schauder and Harnack this article considered the Dirichlet Problem for Poisson's Equation and showed that it is a special case of Divergence Form Operators.
Journal ArticleDOI
Regularity for a more general class of quasilinear elliptic equations
TL;DR: On considere des solutions u∈H 1,p (Ω)∧L ∞ ( Ω) (1
Journal ArticleDOI
C1 + α local regularity of weak solutions of degenerate elliptic equations
TL;DR: In this article, the local C(1 + Alpha) nature of weak solutions of elliptic equations of the type (1.1) in the introduction under the degeneracy (or singularity) assumptions (A sub 1)-(A sub 3).