on elliptic equations in rn with critical exponents
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on elliptic equations in rn with critical exponents

;Claudianor Oliveira Alves;Jose Valdo Goncalves;O. H. Miyagaki
icsoft 2006 - 1st international conference on software and data technologies, proceedings 1996 Vol. 1996 pp. 1-11
113
alves1996electronicon

Abstract

Principle and the Mountain Pass Theorem-- to study the equation $$-Delta u + a(x)u = lambda u^q + u^{2^*-1} quad{ m in } R^N,.$$ The main concern is overcoming compactness difficulties due both to the unboundedness of the domain $R^N$, and the presence of the critical exponent $2^*= 2N/(N-2)$.

Keywords

mathematics critical exponents variational methods unbounded domains

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http://ejde.math.txstate.edu/Volumes/1996/09/abstr...

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