Abstract. In this article we study solutions and supersolutions of a vari-able exponent p()-Laplace equation, and the corresponding obstacle prob-lem, as well as related p()-superharmonic functions. The relationship between these function classes closely parallels the classical case. How-ever, integrability properties of p()-superharmonic functions require stron-ger assumptions. 1
Let us consider the autonomous obstacle problem \begin{equation*} \min_v \int_\Omega F(Dv(x)) \, dx ...
In this paper we prove the the local Lipschitz continuity for solutions to a class of obstacle probl...
We consider the nonlinear potential theory of elliptic partial differential equations with nonstanda...
Abstract. We study the balayage related to the supersolutions of the variable exponent p(·)-Laplace ...
We deal with a class of equations driven by nonlocal, possibly degenerate, integro-differential oper...
This thesis develops Potential Theory for nonlinear fractional Laplace type equations. These equatio...
We deal with a class of equations driven by nonlocal, possibly degenerate, integro-differential oper...
For local minimizers of general quasiconvex integral functionals with p(x) growth in the class of ob...
We study supersolutions and superharmonic functions related to problems involving nonlocal operators...
Abstract. The integrability of positive superharmonic functions on a bounded fat John domain is esta...
Firstly, we define an order for differential forms. Secondly, we also define the supersolution and ...
In this paper, we consider a class of degenerate-elliptic linear operators L in quasi- divergence fo...
We show that every weak supersolution of a variable exponent p-Laplace equation is lower semicontinu...
AbstractIn this paper we study a class of semilinear differential equation systems. The boundedness ...
Beznea L, Röckner M. Applications of Compact Superharmonic Functions: Path Regularity and Tightness ...
Let us consider the autonomous obstacle problem \begin{equation*} \min_v \int_\Omega F(Dv(x)) \, dx ...
In this paper we prove the the local Lipschitz continuity for solutions to a class of obstacle probl...
We consider the nonlinear potential theory of elliptic partial differential equations with nonstanda...
Abstract. We study the balayage related to the supersolutions of the variable exponent p(·)-Laplace ...
We deal with a class of equations driven by nonlocal, possibly degenerate, integro-differential oper...
This thesis develops Potential Theory for nonlinear fractional Laplace type equations. These equatio...
We deal with a class of equations driven by nonlocal, possibly degenerate, integro-differential oper...
For local minimizers of general quasiconvex integral functionals with p(x) growth in the class of ob...
We study supersolutions and superharmonic functions related to problems involving nonlocal operators...
Abstract. The integrability of positive superharmonic functions on a bounded fat John domain is esta...
Firstly, we define an order for differential forms. Secondly, we also define the supersolution and ...
In this paper, we consider a class of degenerate-elliptic linear operators L in quasi- divergence fo...
We show that every weak supersolution of a variable exponent p-Laplace equation is lower semicontinu...
AbstractIn this paper we study a class of semilinear differential equation systems. The boundedness ...
Beznea L, Röckner M. Applications of Compact Superharmonic Functions: Path Regularity and Tightness ...
Let us consider the autonomous obstacle problem \begin{equation*} \min_v \int_\Omega F(Dv(x)) \, dx ...
In this paper we prove the the local Lipschitz continuity for solutions to a class of obstacle probl...
We consider the nonlinear potential theory of elliptic partial differential equations with nonstanda...