On Gardings inequality.
On generalized Moser-Trudinger inequalities without boundary condition
We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum.
On Hardy type inequality with non-isotropic kernels.
On imbedding theorems for weighted anisotropic Sobolev spaces
Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.
On imbeddings of weighted Sobolev spaces on an unbounded domain.
On inequalities of Hardy-Sobolev type.
On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis.
On interpolation with boundary conditions.
On Ishlinskij's model for non-perfectly elastic bodies
The main goal of the paper is to formulate some new properties of the Ishlinskii hysteresis operator , which characterizes e.g. the relation between the deformation and the stress in a non-perfectly elastic (elastico-plastic) material. We introduce two energy functionals and derive the energy inequalities. As an example we investigate the equation describing the motion of a mass point at the extremity of an elastico-plastic spring.
On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem
On -differentiability and difference properties of functions
On L...-decay and scattering for nonlinear Klein-Gordon equations.
On Lebesgue points of functions in the Sobolev class .
On limiting embeddings of Besov spaces
We investigate the classical embedding . The sharp asymptotic behaviour as s → 1 of the operator norm of this embedding is found. In particular, our result yields a refinement of the Bourgain, Brezis and Mironescu theorem concerning an analogous problem for the Sobolev-type embedding. We also give a different, elementary proof of the latter theorem.
On Liouville theorems, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems
On Lorentz-Zygmund spaces [Book]
On monotone-like mappings in Orlicz-Sobolev spaces
We study the mappings of monotone type in Orlicz-Sobolev spaces. We introduce a new class as a generalization of and extend the definition of quasimonotone map. We also prove existence results for equations involving monotone-like mappings.
On more general Lipschitz spaces.
On Morrey-Besov inequalities
On one class of matrix differential operators.