Landesman–Lazer type conditions and quasilinear elliptic equations
Leray Lions degenerated problem with general growth condition.
Lie symmetries and criticality of semilinear differential systems.
Limits of Nonlinear Dirichlet Problems in varying domains.
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.
Local and global estimates for solutions of systems involving the -Laplacian in unbounded domains.
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 Lipschitz continuity of solutions of non-linear elliptic differential-functional equations
The object of this paper is to prove existence and regularity results for non-linear elliptic differential-functional equations of the form over the functions that assume given boundary values ϕ on ∂Ω. The vector field satisfies an ellipticity condition and for a fixed x, F[u](x) denotes a non-linear functional of u. In considering the same problem, Hartman and Stampacchia [Acta Math.115 (1966) 271–310] have obtained existence results in the space of uniformly Lipschitz continuous functions...
Local regularity results for minima of anisotropic functionals and solutions of anisotropic equations.