A characterization of caloric morphisms between manifolds.
A Construction of Representing Measures for Elliptic and Parabolic Differential Equations.
A generalized area integral estimate and applications
A note on the convexity theorem for mean values of subtemperatures.
A uniform boundary Harnack inequality on non-tangentially accessible domains.
Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung
This paper is devoted to a study of harmonic mappings of a harmonic space on a harmonic space which are related to a family of harmonic mappings of into . In this way balayage in may be reduced to balayage in . In particular, a subset of is polar if and only if is polar. Similar result for thinness. These considerations are applied to the heat equation and the Laplace equation.
About mathematical model or some diffuse processes in the Mediterranean and exterior Poincare problem for the Helmholtz equation.
Best constants in the Harnack inequality for the Weinstein equation.
Existence of a solution of a Fourier nonlocal quasilinear parabolic problem.
Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems.
Generalized dirichlet problem in nonlinear potential theory.
Harmonic spaces associated with parabolic and elliptic differential operators.
Heat sources and heat potentials
Improved estimates for the Ginzburg-Landau equation : the elliptic case
We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the -energy and the parameter . These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.
Nevanlinna's first fundamental theorem for supertemperatures.
On subharmonicity inequalities involving solutions of generalized Cauchy-Riemann equations
On the base and the essential base in parabolic potential theory
On the Boundary Behaviour of the Perron Generalized Solution.
On the equivalence of Green functions for general Schrödinger operators on a half-space
We consider the general Schrödinger operator on a half-space in ℝⁿ, n ≥ 3. We prove that the L-Green function G exists and is comparable to the Laplace-Green function provided that μ is in some class of signed Radon measures. The result extends the one proved on the half-plane in [9] and covers the case of Schrödinger operators with potentials in the Kato class at infinity considered by Zhao and Pinchover. As an application we study the cone of all positive L-solutions continuously vanishing...
On the potential theory of some systems of coupled PDEs
In this paper we study some potential theoretical properties of solutions and super-solutions of some PDE systems (S) of type , , on a domain of , where and are suitable measures on , and , are two second order linear differential elliptic operators on with coefficients of class . We also obtain the integral representation of the nonnegative solutions and supersolutions of the system (S) by means of the Green kernels and Martin boundaries associated with and , and a convergence...