1. On generalized Moser-Trudinger inequalities without boundary condition
- Creator:
- Černý, Robert
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Orlicz space, Orlicz-Sobolev space, embedding theorem, sharp constant, Moser-Trudinger inequality, and concentration-compactness principle
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public