In this paper we study the existence, non-existence and multiplicity of non-negative solutions for a family of elliptic problems with exponential nonlienarity and sign-changing weights. The techniques used in the proofs are a combination of upper and lower solutions, the Trudinger-Moser inequality and variational methods.

On a Liouville-type equation with sign-changing weight / B. Ruf, P. Ubilla. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 139:1(2009), pp. 183-192.

On a Liouville-type equation with sign-changing weight

B. Ruf
Primo
;
2009

Abstract

In this paper we study the existence, non-existence and multiplicity of non-negative solutions for a family of elliptic problems with exponential nonlienarity and sign-changing weights. The techniques used in the proofs are a combination of upper and lower solutions, the Trudinger-Moser inequality and variational methods.
Liouville equation ; Gelfand equation ; multiplicity ; variational method ; Trudinger-Moser inequality
Settore MAT/05 - Analisi Matematica
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/51961
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