Add to ORKGGlobal solvability and uniqueness results are established for Dirichlet's problem for a class of nonlinear differential equations on a convex domain in the plane, where the nonlinear operator is elliptic in sense of Campanato. We prove existence by means of the Leray-Schauder fixed point theorem, using Alexandrov-Pucci maximum principle in order to find a priori estimate for the solution
In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form...
(Communicated by P. Korman) Abstract. In the present paper the Dirichlet problem for semilinear elli...
By the aid of Aleksandrov–Pucci maximum principle for linear elliptic operators, we derive L∞-a pri...
Global solvability and uniqueness results are established for Dirichlet's problem for a class of non...
An a priori estimate is established for the gradient of the solution to Dirichlet's problem for a cl...
Existence of strong solutions to Cauchy-Dirichlet problem for nonlinear parabolic equation is establ...
Abstract. We consider the problem of existence and uniqueness of strong a.e. solutions u: Rn − → RN ...
International audienceThe existence of positive solutions for nonlinear elliptic problems under Diri...
Consider the Dirichlet problem for elliptic and parabolic equations in non-divergence form with vari...
Consider the Dirichlet problem for elliptic and parabolic equations in nondivergence form with varia...
We consider here a class of nonlinear Dirichlet problems, in a bounded domain Omega of the form { -d...
Abstract. We show the existence of at least two nontrivial solu-tions for a class of the systems of ...
AbstractWe study the maximum principle, the existence of eigenvalue and the existence of solution fo...
We prove an existence result for solution to a class of nonlinear degenerate elliptic equa-tion asso...
Existence, uniqueness and a maximum principle for the solution of a nonlinear elliptic problem is o...
In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form...
(Communicated by P. Korman) Abstract. In the present paper the Dirichlet problem for semilinear elli...
By the aid of Aleksandrov–Pucci maximum principle for linear elliptic operators, we derive L∞-a pri...
Global solvability and uniqueness results are established for Dirichlet's problem for a class of non...
An a priori estimate is established for the gradient of the solution to Dirichlet's problem for a cl...
Existence of strong solutions to Cauchy-Dirichlet problem for nonlinear parabolic equation is establ...
Abstract. We consider the problem of existence and uniqueness of strong a.e. solutions u: Rn − → RN ...
International audienceThe existence of positive solutions for nonlinear elliptic problems under Diri...
Consider the Dirichlet problem for elliptic and parabolic equations in non-divergence form with vari...
Consider the Dirichlet problem for elliptic and parabolic equations in nondivergence form with varia...
We consider here a class of nonlinear Dirichlet problems, in a bounded domain Omega of the form { -d...
Abstract. We show the existence of at least two nontrivial solu-tions for a class of the systems of ...
AbstractWe study the maximum principle, the existence of eigenvalue and the existence of solution fo...
We prove an existence result for solution to a class of nonlinear degenerate elliptic equa-tion asso...
Existence, uniqueness and a maximum principle for the solution of a nonlinear elliptic problem is o...
In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form...
(Communicated by P. Korman) Abstract. In the present paper the Dirichlet problem for semilinear elli...
By the aid of Aleksandrov–Pucci maximum principle for linear elliptic operators, we derive L∞-a pri...