Compactness of conformal metrics with positive gaussian curvature in
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.
Comparaison entre modèles d'ondes de surface en dimension 2
Partant du principe de conservation de la masse et du principe fondamental de la dynamique, on retrouve l'équation d'Euler nous permettant de décrire les modèles asymptotiques de propagation d'ondes dans des eaux peu profondes en dimension 1. Pour décrire la propagation des ondes en dimension 2, Kadomtsev et Petviashvili [ 15 (1970) 539] utilisent une perturbation linéaire de l'équation de KdV. Mais cela ne précise pas si les équations ainsi obtenues dérivent de l'équation d'Euler, c'est ce que...
Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations
In this paper we prove a comparison result between semicontinuous viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form in where the Hamiltonian H may be noncoercive in the gradient Du. As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.
Comparison principle and Liouville type results for singular fully nonlinear operators
Comparison principle for a nonlinear parabolic problem of a nonmonotone type
A nonlinear parabolic problem with the Newton boundary conditions and its weak formulation are examined. The problem describes nonstationary heat conduction in inhomogeneous and anisotropic media. We prove a comparison principle which guarantees that for greater data we obtain, in general, greater weak solutions. A new strategy of proving the comparison principle is presented.
Comparison principle for parabolic equations in the Heisenberg group.
Comparison principle for second order elliptic operators and applications
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 and steady states for the Fujita equation with fractional laplacian
Comparison results for a class of variational inequalities.
In this paper we study a variational inequality related to a linear differential operator of elliptic type. We give a pointwise bound for the rearrangement of the solution u, and an estimate for the L2-norm of the gradient of u.
Comparison results for elliptic and parabolic equations via Schwarz symmetrization
Comparison results for Hessian equations via symmetrization
Comparison results for semilinear elliptic equations via Picone-type identities.
Comparison results of reaction-diffusion equations with delay in abstract cones
Comparison theorems for a class of first order Hamilton-Jacobi equations
Comparison theorems for multicomponent diffusion systems: Developments since 1961.
Comparison theorems for purely non-linear parabolic differential operators
Comparison theorems for Riccati inequalities arising in the theory of PDEs with -Laplacian.
Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results