Robert Černý

Concentration-Compactness Principle for Generalized Trudinger Inequalities

Let Ω ⊂ R, n ≥ 2, be a bounded domain and let α < n−1. We prove the Concentration-Compactness Principle for the embedding of the Orlicz-Sobolev space W 1 0 L n log L(Ω) into the Orlicz space with the Young function exp (

Bi-Sobolev homeomorphism with zero minors almost everywhere

Abstract Suppose that N,α,β∈ℕ

Note on the concentration-compactness principle for generalized Moser-Trudinger inequalities

N,\alpha ,\beta \in \mathbb {N}

Concentration-compactness principles for Moser–Trudinger inequalities: new results and proofs

are satisfying the conditions 2≤α≤N-1

A sharp form of an embedding into multiple exponential spaces

2\le \alpha \le N-1

Homeomorphism with zero Jacobian: Sharp integrability of the derivative

and 2≤β≤N-1

On the Dirichlet problem for the n,α-Laplacian with the nonlinearity in the critical growth range

2\le \beta \le N-1

Generalized n-Laplacian: Quasilinear nonhomogenous problem with critical growth

. Let us fix p∈[1,min{N N-α+1,N-β+1})

Generalized Moser–Trudinger inequality for unbounded domains and its application

p\in [1,\min \lbrace \frac{N}{N-\alpha +1},N-\beta +1\rbrace )

Concentrated monotone measures with non-unique tangential behavior in ℝ3

and q∈[1,min{N N-β+1,N-α+1})