Generalized n-Laplacian: boundedness of the weak solutions to the Dirichlet problem with the nonlinearity in the critical growth range

Abstrakt

We prove the boundedness of weak solutions to the Dirichlet problem concerning a generalized n-Laplace operator witrh the nonlinearity having the exponential critical growth range.

Klíčová slova

• Orlicz-Sobolev spaces
• Trudinger embedding
• Moser-Trudinger inequality
• Moser iteration