Existence and multiplicity results for a semilinear elliptic eigenvalue problem
Existence and multiplicity results for some weakly nonlinear elliptic problems at resonance
Existence and Non Existence of Capillary Surfaces.
Existence and nonexistence of classical solutions of the Dirichlet problem for a class of fully nonlinear nonuniformly elliptic equations
Existence and nonexistence of nontrivial solutions for some nonlinear elliptic systems.
In this paper we give some existence and nonexistence results of non trivial solutions of nonlinear elliptic systems involving the p-Laplacian.
Existence and nonexistence of radial positive solutions of superlinear elliptic systems.
The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system⎧ -Δpu = f(x,u,v) in Ω,⎨ -Δqv = g(x,u,v) in Ω,⎩ u = v = 0 on ∂Ω,where Ω is a ball in RN and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly speaking, to superlinear problems. Two different sets of conditions, called strongly and weakly coupled, are given in order to obtain existence. We use...
Existence and nonexistence results for quasilinear semipositone Dirichlet problems.
Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface.
Existence and uniqueness of solutions for nonlinear and non coercive problems with measure data
We prove the existence of a renormalized solution for a nonlinear non coercive divergence problem with lower order terms and measure data. In a particular case we also give a uniqueness result.
Existence and uniqueness of the solution of the coupled conduction-radiation energy transfer on diffuse-gray surfaces.
Existence and uniqueness results for solutions of nonlinear equations with right hand side in
We prove an existence and uniqueness theorem for the elliptic Dirichlet problem for the equation div a(x,∇u) = f in a planar domain Ω. Here and the solution belongs to the so-called grand Sobolev space . This is the proper space when the right hand side is assumed to be only -integrable. In particular, we obtain the exponential integrability of the solution, which in the linear case was previously proved by Brezis-Merle and Chanillo-Li.
Existence and uniqueness results on Single-Peaked solutions of a semilinear problem
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 for elliptic equations in 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 of a minimal solution and a maximal solution of a nonlinear elliptic boundary value problem of the fourth order
Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and -data
In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic -Laplacian problem with Dirichlet-type boundary conditions and data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.