We consider the problem -Delta u = K(x)u(p epsilon) in R(n) u > 0 in R(n) where p = n+2/n-2, p(epsilon) = p - epsilon, n >= 3; epsilon > 0 and K (x) > 0 in R(n). We prove an existence and multiplicity result for single peaked solutions of our problem concentrating at a fixed critical point of K (x) and some other related results.
EXISTENCE AND MULTIPLICITY RESULTS FOR EQUATIONS WITH NEARLY CRITICAL GROWTH / Grossi, Massimo; F., Gladiali. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 16:(2011), pp. 801-837.
EXISTENCE AND MULTIPLICITY RESULTS FOR EQUATIONS WITH NEARLY CRITICAL GROWTH
GROSSI, Massimo;
2011
Abstract
We consider the problem -Delta u = K(x)u(p epsilon) in R(n) u > 0 in R(n) where p = n+2/n-2, p(epsilon) = p - epsilon, n >= 3; epsilon > 0 and K (x) > 0 in R(n). We prove an existence and multiplicity result for single peaked solutions of our problem concentrating at a fixed critical point of K (x) and some other related results.File allegati a questo prodotto
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