On a functional satisfying a weak Palais-Smale condition

Antonio Azzollini

doi:10.3934/dcds.2014.34.1829

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2014, Volume 34, Issue 5: 1829-1840. Doi: 10.3934/dcds.2014.34.1829

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On a functional satisfying a weak Palais-Smale condition

Antonio Azzollini^1,

1.
Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, Via dell'Ateneo Lucano 10, I-85100 Potenza

Received: January 31, 2013

Revised: May 31, 2013

Published: April 2014

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Abstract

In this paper we study a quasilinear elliptic problem whose functional satisfies a weak version of the well known Palais-Smale condition. An existence result is proved under general assumptions on the nonlinearities.

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Mathematics Subject Classification: Primary: 35j62; Secondary: 46E30, 46E35.

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