Liouville theorems for a class of linear second-order operators with nonnegative characteristic form.
Liouville Theorems for Nondiagonal Elliptic Systems in Arbitrary Dimensions.
Liouville Theorems for Nonlinear Elliptic Equations and Systems.
Liouville theorems for self-similar solutions of heat flows
Let be a compact Riemannian manifold. A quasi-harmonic sphere on is a harmonic map from to () with finite energy ([LnW]). Here is the Euclidean metric in . Such maps arise from the blow-up analysis of the heat flow at a singular point. In this paper, we prove some kinds of Liouville theorems for the quasi-harmonic spheres. It is clear that the Liouville theorems imply the existence of the heat flow to the target . We also derive gradient estimates and Liouville theorems for positive...
Liouville theorems for semilinear equations on the Heisenberg group
Liouville type theorems for some conformally invariant fully nonlinear equations
This is a report on some joint work with Aobing Li on Liouville type theorems for some conformally invariant fully nonlinear equations.
Liouville-Gelfand type problems for the -laplacian on bounded domains of
Lipschitz constants for positive solutions of second-order elliptic equations.
Lipschitz continuity of solutions of the Liouville equation. (La continuité de Lipschitz des solutions de l'équation de Liouville.)
Lipschitz Continuous Solutions for Nonlinear Obstacle Problems.
Lipschitz regularity for some asymptotically convex problems
We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
Lipschitz regularity for some asymptotically convex problems*
We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
Ljusternik-Schnirelmann theory on -manifolds
Local and global estimates for solutions of systems involving the -Laplacian in unbounded domains.
Local and global integrability of gradients in obstacle problems.
Local approximation estimators for algebraic multigrid.
Local asymptotic symmetry of singular solutions to nonlinear elliptic equations.
Local behavior and global existence of positive solutions of auλ≤−Δu≤uλ
Local boundedness for minimizers of variational integrals under anisotropic nonstandard growth conditions
This paper deals with local boundedness for minimizers of vectorial integrals under anisotropic growth conditions by using De Giorgi’s iterative method. We consider integral functionals with the first part of the integrand satisfying anisotropic growth conditions including a convex nondecreasing function , and with the second part, a convex lower order term or a polyconvex lower order term. Local boundedness of minimizers is derived.
Local Bounds for Solutions of Higher Order Nonlinear Elliptic Partial Differential Equations.