Data di Pubblicazione:
2009
Citazione:
A priori bounds for superlinear problems
involving the N-Laplacian / S. Lorca, B. Ruf, P. Ubilla. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 246:5(2009 Mar), pp. 2039-2054.
Abstract:
In this paper we establish a priori bounds for positive solution of the
N-Laplace equation in a bounded smooth domain in R^N, and with a nonlinearity having at most
exponential growth. The techniques used in the proofs are a generalization
of the methods of Brezis-Merle to the N-Laplacian, in combination with the
Trudinger-Moser inequality,the Moving Planes method and a Comparison
Principle for the N-Laplacian.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
a priori bounds ; moving planes ; Trudinger-Moser
inequality
Elenco autori:
S. Lorca, B. Ruf, P. Ubilla
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