H1/2 maps with values into the circle : minimal connections, lifting, and the Ginzburg–Landau equation
Hamilton-Jacobi flows and characterization of solutions of Aronsson equations
In this note, we verify the conjecture of Barron, Evans and Jensen [3] regarding the characterization of viscosity solutions of general Aronsson equations in terms of the properties of associated forward and backwards Hamilton-Jacobi flows. A special case of this result is analogous to the characterization of infinity harmonic functions in terms of convexity and concavity of the functions and , respectively.
Hardy-Poincaré type inequalities derived from p-harmonic problems
We apply general Hardy type inequalities, recently obtained by the author. As a consequence we obtain a family of Hardy-Poincaré inequalities with certain constants, contributing to the question about precise constants in such inequalities posed in [3]. We confirm optimality of some constants obtained in [3] and [8]. Furthermore, we give constants for generalized inequalities with the proof of their optimality.
Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains.
Harnack Inequalities for Nonuniformly Elliptic Divergence Structure Equations.
Harnack inequalities for quasi-minima of variational integrals
Harnack inequality for the Schrödinger problem relative to strongly local Riemannian -homogeneous forms with a potential in the Kato class.
Harnack’s inequalities for solutions to the mean curvature equation and to the capillarity problem
Harnack's inequality for quasilinear elliptic equations with coefficients in Morrey spaces
Hartman-Wintner type theorem for PDE with -Laplacian.
Hartree-Fock theory in nuclear physics
Hessian measures. II.
Higher order nonlinear degenerate elliptic problems with weak monotonicity.
Higher order nonlinear partial differential equations in unbounded domains of
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations
This paper is concerned with the Hölder regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we assume that, at each point of the domain, either the equation is strictly elliptic in the classical fully non-linear sense, or (and this is the most original part of our work) the equation is strictly elliptic in a non-local non-linear sense we make precise. Next we impose some regularity and growth...
Hölder solutions for the amorphous silicon system and related problems.
Homoclinic-type solutions for an almost periodic semilinear elliptic equation on
Homogenization of a monotone problem in a domain with oscillating boundary
Homogenization of a monotone problem in a domain with oscillating boundary
We study the asymptotic behaviour of the following nonlinear problem: in a domain Ωh of whose boundary ∂Ωh contains an oscillating part with respect to h when h tends to ∞. The oscillating boundary is defined by a set of cylinders with axis 0xn that are h-1-periodically distributed. We prove that the limit problem in the domain corresponding to the oscillating boundary identifies with a diffusion operator with respect to xn coupled with an algebraic problem for the limit fluxes.
Homogenization of elliptic equations with quadratic growth in periodically perforated domains: The case of unbounded solutions.