Tomasz Adamowicz

Prime ends for domains in metric spaces

In this paper we propose a new definition of prime ends for domains in metric spaces under rather general assumptions. We compare our prime ends to those of Caratheodory and Nakki. Modulus ends and ...

On a variant of the maximum principle involving radial

We obtain the variant of maximum principle for radial solutions of

p

p

-Laplacian with applications to nonlinear eigenvalue problems and nonexistence results

-harmonic equation

Regularity of p(.)-superharmonic functions, the Kellogg property and semiregular boundary points

-a\Delta_p(w)=\phi(w)

NON-CONFORMAL LOEWNER TYPE ESTIMATES FOR MODULUS OF CURVE FAMILIES

. As a consequence of this result we prove monotonicity of constant sign solutions, analyze the support of the solutions and study their oscillations. The results are applied to various type nonlinear eigenvalue problems and nonexistence theorems.

Harnack's inequality and the strong p(⋅)-Laplacian

We study various boundary and inner regularity questions for

Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces

p(\cdot)

Mappings of Finite Distortion and PDE with Nonstandard Growth

-(super)harmonic functions in Euclidean domains. In particular, we prove the Kellogg property and introduce a classification of boundary points for

Maximum principles and nonexistence results for radial solutions to equations involving p-Laplacian

p(\cdot)