A Priori Estimates and a Liouville Theorem for Elliptic Monge-Ampère Equations.
A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient
We derive local a priori estimates of the Hölder norm of solutions to quasilinear elliptic systems with quadratic nonlinearities in the gradient. We assume higher integrability of solutions and smallness of its BMO norm but the Hölder norm is estimated in terms of BMO norm of the solution under consideration, only.
A priori estimates for solutions of fully nonlinear special lagrangian equations
A priori interior gradient bounds for solutions to elliptic Weingarten equations
A priori regularity for weak solutions of some nonlinear elliptic equations
A Priori Schranken für die Ableitungen der Lösungen gewisser elliptischer Differentialgleichungssysteme.
A Radó type theorem for -harmonic functions in the plane.
A rapid convergence method for a singular perturbation problem
A refinement of the radial Pohozaev identity
In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.
A regularity criterion for positive weak solutions of -...u = u... .
A regularity property of -harmonic functions.
A regularity result for a convex functional and bounds for the singular set
In this paper we prove a regularity result for local minimizers of functionals of the Calculus of Variations of the typewhere Ω is a bounded open set in , u∈(Ω; ), p> 1, n≥ 2 and N≥ 1. We use the technique of difference quotient without the usual assumption on the growth of the second derivatives of the function f. We apply this result to give a bound on the Hausdorff dimension of the singular set of minimizers.
A regularity result for p-harmonic equations with measure data.
We examine the p-harmonic equation div |grad u|(p-2). grad u = mu, where mu is a bounded Radon measure. We determine a range of p's for which solutions to the equation verify an a priori estimate. For such p's we also prove a higher integrability result.
A remark on a paper by Bhattacharya and Leonetti
We prove higher integrability for the gradient of bounded minimizers of some variational integrals with anisotropic growth.
A remark on ground state solutions for Lane-Emden-Fowler equations with a convection term.
A remark on infinity harmonic functions.
A remark on Morrey type regularity for nonlinear elliptic systems of second order
A remark on perturbed elliptic equations of Caffarelli-Kohn-Nirenberg type.
Using a perturbation argument based on a finite dimensional reduction, we find positive solutions to a given class of perturbed degenerate elliptic equations with critical growth.
A remark on some nonlinear elliptic problems.
A remark on the bifurcation diagrams of superlinear elliptic equations
We prove a formula relating the index of a solution and the rotation number of a certain complex vector along bifurcation diagrams.