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In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang [6] and the properties of variational Sobolev spaces, we establish conditions which ensure the existence of solution for our problem.

Existence of a positive solution for a $p$ -Laplacian semipositone problem.

Chhetri, Maya, Shivaji, R. (2005)

Boundary Value Problems [electronic only]

Existence of a ray of eigenvalues for equations with discontinuous operators.

Pavlenko, V.N., Potapov, D.K. (2001)

Sibirskij Matematicheskij Zhurnal

Existence of a renormalized solution of nonlinear degenerate elliptic problems

Youssef Akdim, Chakir Allalou (2014)

Applicationes Mathematicae

We study a general class of nonlinear elliptic problems associated with the differential inclusion $β (u) - d i v (a (x, D u) + F (u)) ∋ f$ in Ω where $f \in L^{\infty} (Ω)$ . The vector field a(·,·) is a Carathéodory function. Using truncation techniques and the generalized monotonicity method in function spaces we prove existence of renormalized solutions for general $L^{\infty}$ -data.

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Existence de maillages optimaux dans les méthodes d'éléments finis

Existence de solutions non bornées pour certaines équations quasi-linéaires

Existence des applications harmoniques et courbure des variétés

Existence d'une infinité d'ondes solitaires pour des équations de champs non linéaires dans le plan

Existence et approximation de points selles pour certains problèmes non linéaires

Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique

Existence for elliptic equations in $L^{1}$ having lower order terms with natural growth.

Existence for quasilinear elliptic systems with quadratic growth having a particular structure.

Existence locale et régularité du problème de Dirichlet pour l'équation de Monge-Ampère

Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation

Existence, non-existence and regularity of radial ground states for p-laplacian equations with singular weights

Existence of a minimal solution and a maximal solution of a nonlinear elliptic boundary value problem of the fourth order

Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian

Existence of a positive solution for a $p$ -Laplacian semipositone problem.

Existence of a ray of eigenvalues for equations with discontinuous operators.

Existence of a renormalized solution of nonlinear degenerate elliptic problems

Existence of a solution to $- div a (x, D u) = f$ with $a (x, ξ)$ a maximal monotone graph in $ξ$ for every $x$ given

Existence of blowup solutions for nonlinear problems with a gradient term.

Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces.

Existence of continuous and singular ground states for semilinear elliptic systems.

Currently displaying 301 – 320 of 504