Results 211 to 220 of about 511,067 (272)

Nonlinear elliptic equations with singular nonlinearities

Asymptotic Analysis, 2013
In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose simplest example is −div (|∇u|p−2∇u)=f/uγ in Ω, u=0 on ∂Ω, where Ω is a bounded open set in RN (N≥2), γ>0 ...
Linda Maria De Cave
semanticscholar   +4 more sources

Fully Nonlinear Elliptic Equations with Gradient Terms on Hermitian Manifolds

International mathematics research notices, 2022
We derive a priori 2nd-order estimates for fully nonlinear elliptic equations that depend on the gradients of solutions on compact Hermitian manifolds, which is a crucial step in solving the equations.
Bo Guan, Xiaolan Nie
semanticscholar   +1 more source

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

, 1983
Soit Ω un domaine borne dans R n avec n≥3. On etudie l'existence d'une fonction u satisfaisant l'equation elliptique non lineaire -Δu=u P +f(x,u) sur Ω, u>0 sur Ω, u=0 sur ∂Ω, ou p=(n+2)/(n−2), f(x,0)=0 et f(x,u) est une perturbation de u P de bas ordre ...
H. Brezis, L. Nirenberg
semanticscholar   +1 more source

Fully Nonlinear Elliptic Equations

, 1995
Introduction Preliminaries Viscosity solutions of elliptic equations Alexandroff estimate and maximum principle Harnack inequality Uniqueness of solutions Concave equations $W^{2,p}$ regularity Holder regularity The Dirichlet problem for concave ...
L. Caffarelli, X. Cabré
semanticscholar   +1 more source

Degenerate elliptic equations with singular nonlinearities

Calculus of Variations and Partial Differential Equations, 2008
The behavior of the "minimal branch" is investigated for quasilinear eigenvalue problems involving the p-Laplace operator, considered in a smooth bounded domain of R N , and compactness holds below a critical dimension N # . The nonlinearity f (u) lies in a very general class and the results we present are new even for p = 2. Due to the degeneracy of p-
CASTORINA, DANIELE   +3 more
openaire   +6 more sources

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