EuDML | Browse

This paper is devoted to the study of some nonlinear degenerated elliptic equations, whose prototype is given by $\begin{matrix} t 2 & - {div (b (| u |) | \nabla u |}^{p - 2} {\nabla u) + d (| u |) | \nabla u |}^{p} = f - {div (c (x) | u |}^{α}) & in Ω, \\ u = 0 & on \partial Ω, \end{matrix} t$ where $Ω$ is a bounded open set of $ℝ^{N}$ ( $N \geq 2$ ) with $1 < p < N$ and $f \in L^{1} (Ω),$ under some growth conditions on the function $b (\cdot)$ and $d (\cdot),$ where $c (\cdot)$ is assumed to be in $L^{\frac{N}{(p - 1)}} (Ω) .$ We show the existence of renormalized solutions for this non-coercive elliptic equation, also, some regularity results will be concluded.

Existence of solution for a free boundary problem in a nonlinear piecewise homogeneous medium

A. Bermúdez, M. C. Muniz, P. Quintela (1998)

Annales de l'I.H.P. Analyse non linéaire

Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents.

Li, Juan (2005)

International Journal of Mathematics and Mathematical Sciences

Existence of solution for nonlinear elliptic equations with unbounded coefficients and $L^{1}$ data.

Redwane, Hicham (2009)

International Journal of Mathematics and Mathematical Sciences

Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems

Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane (2003)

Annales mathématiques Blaise Pascal

An existence theorem is proved, for a quasilinear degenerated elliptic inequality involving nonlinear operators of the form $A u + g (x, u, \nabla u)$ , where $A$ is a Leray-Lions operator from $W_{0}^{1, p} (Ω, w)$ into its dual, while $g (x, s, ξ)$ is a nonlinear term which has a growth condition with respect to $ξ$ and no growth with respect to $s$ , but it satisfies a sign condition on $s$ , the second term belongs to $W^{- 1, p^{'}} (Ω, w^{*})$ .

Currently displaying 101 – 120 of 165

Previous Page 6 Next

Displaying 101 – 120 of 165

Existence of positive solutions for Dirichlet problems of some singular elliptic equations.

Existence of positive solutions for $p (x)$ -Laplacian problems.

Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of $ℝ^{n}$ .

Existence of positive solutions for some polyharmonic nonlinear equations in $ℝ^{n}$ .

Existence of positive solutions for some polyharmonic nonlinear boundary-value problems.

Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the $n$ -laplacian

Existence of positive solutions to a superlinear elliptic problem.

Existence of positive solutions to nonlinear elliptic problem in the half space.

Existence of regular solutions to the stationary Navier-Stokes equations.

Existence of renormalized solution of some elliptic problems in Orlicz spaces.

Existence of renormalized solutions for some degenerate and non-coercive elliptic equations

Existence of solution for a free boundary problem in a nonlinear piecewise homogeneous medium

Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents.

Existence of solution for nonlinear elliptic equations with unbounded coefficients and $L^{1}$ data.

Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems

Existence of solutions bounded at infinity for a semilinear elliptic equation on RN.

Existence of solutions for a class of elliptic systems in $ℝ^{N}$ involving the p-Laplacian.

Existence of solutions for a family of polyharmonic and biharmonic equations.

Existence of solutions for a nonlinear degenerate elliptic system.

Existence of solutions for a nonlinear elliptic equation with general flux term.

Currently displaying 101 – 120 of 165