Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations
Caractère trivial de la solution de certaines équations aux derivées partielles non linéaires dans un ouvert cylindrique de
Classical boundary value problems for Monge-Ampère type equations
Classical Solutions of Nonlinear Schrödinger Equations in Higher Dimensions.
Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator
Coexistence of singular and regular solutions for the equation of Chipot and Weissler.
Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
Compactness Method in the Finite Element Theory of Nonlinear Elliptic Problems.
Compactness of support of solutions for some classes of nonlinear elliptic and parabolic systems.
In this paper, we obtain some existence theorems of nonnegative solutions with compact support for homogeneous Dirichlet elliptic problems; we also extend these results to parabolis systems.Supersolution and comparison principles are our main ingredients.
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.
We prove comparison principles for viscosity solutions of nonlinear second order, uniformly elliptic equations, which extend previous results of P. L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.
Comparison results for elliptic and parabolic equations via Schwarz symmetrization
Comparison results for semilinear elliptic equations via Picone-type identities.
Concavity properties of solutions to some degenerate quasilinear elliptic Dirichlet problems
Concentration des solutions d'équations elliptiques avec nonlinéarité critique
Concentration of solutions to elliptic equations with critical nonlinearity
Concentration phenomena for fourth-order elliptic equations with critical exponent.
Conformally bending three-manifolds with boundary
Given a three-dimensional manifold with boundary, the Cartan-Hadamard theorem implies that there are obstructions to filling the interior of the manifold with a complete metric of negative curvature. In this paper, we show that any three-dimensional manifold with boundary can be filled conformally with a complete metric satisfying a pinching condition: given any small constant, the ratio of the largest sectional curvature to (the absolute value of) the scalar curvature is less than this constant....
Constant Boundary value problem for a quasilinear elliptic system.
Contact problem of two elastic bodies. I
The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated.
Contact problem of two elastic bodies. II
The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated.