Abstract. The integrability of positive superharmonic functions on a bounded fat John domain is established. No exterior conditions are assumed. For a general bounded John domain the Lp-integrability is proved with the estimate of p in terms of the John constant. 1
International audienceWe complement a previous result concerning a converse of the mean-value proper...
Alakhrass M, Hansen W. Infima of superharmonic functions. Arkiv för matematik. 2012;50(2):231-235.Le...
AbstractAll positive harmonic functions in an arbitrary domain of a Euclidean space can be described...
summary:In the present paper we study the integral representation of nonnegative finely superharmoni...
A proper subdomain D of Rn is called a Hölder domain if, for xed x0 2 D, the quasi-hyperbolic dista...
Abstract. In this article we study solutions and supersolutions of a vari-able exponent p()-Laplace ...
Abstract. In this paper we use quasiminimizing properties of radial power-type functions to deduce c...
We study various boundary and inner regularity questions for p(.)-(super)harmonic functions in Eucli...
Abstract. Let Ω be an open set in R2 with Green function G(x, y) for the Laplace equation. We give a...
© 2017, Pleiades Publishing, Ltd.Strict superharmonicity of generalized reduced module as a function...
The objective of our note is to prove that, at least for a convex domain, the ground state of the p-...
We prove a converse of the mean value property for superharmonic and subharmonic functions. The case...
Let u be a super-biharmonic function, that is, Δ2u ≥ 0, on the unit disc D in the complex plane, sat...
We study the rate at which a positive superharmonic function u can tend to zero at a boundary point ...
AbstractLet Ω denote the open strip (−1, 1)×Rn−1, where n⩾2. We completely solve the problem of char...
International audienceWe complement a previous result concerning a converse of the mean-value proper...
Alakhrass M, Hansen W. Infima of superharmonic functions. Arkiv för matematik. 2012;50(2):231-235.Le...
AbstractAll positive harmonic functions in an arbitrary domain of a Euclidean space can be described...
summary:In the present paper we study the integral representation of nonnegative finely superharmoni...
A proper subdomain D of Rn is called a Hölder domain if, for xed x0 2 D, the quasi-hyperbolic dista...
Abstract. In this article we study solutions and supersolutions of a vari-able exponent p()-Laplace ...
Abstract. In this paper we use quasiminimizing properties of radial power-type functions to deduce c...
We study various boundary and inner regularity questions for p(.)-(super)harmonic functions in Eucli...
Abstract. Let Ω be an open set in R2 with Green function G(x, y) for the Laplace equation. We give a...
© 2017, Pleiades Publishing, Ltd.Strict superharmonicity of generalized reduced module as a function...
The objective of our note is to prove that, at least for a convex domain, the ground state of the p-...
We prove a converse of the mean value property for superharmonic and subharmonic functions. The case...
Let u be a super-biharmonic function, that is, Δ2u ≥ 0, on the unit disc D in the complex plane, sat...
We study the rate at which a positive superharmonic function u can tend to zero at a boundary point ...
AbstractLet Ω denote the open strip (−1, 1)×Rn−1, where n⩾2. We completely solve the problem of char...
International audienceWe complement a previous result concerning a converse of the mean-value proper...
Alakhrass M, Hansen W. Infima of superharmonic functions. Arkiv för matematik. 2012;50(2):231-235.Le...
AbstractAll positive harmonic functions in an arbitrary domain of a Euclidean space can be described...