On a Noncompact Minimization Problem of Hardy-Sobolev Type

Sandeep, K. (2016) On a Noncompact Minimization Problem of Hardy-Sobolev Type Advanced Nonlinear Studies, 2 (1). pp. 81-91. ISSN 1536-1365

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Official URL: http://doi.org/10.1515/ans-2002-0106

Related URL: http://dx.doi.org/10.1515/ans-2002-0106

Abstract

In this paper we discuss the existence and nonexistence of minimizer for the constraint minimization problem where r=| x′| for x=(x′, z)∊ ℝk× ℝn-k, 2≤ k≤ n, 1< p< n, 0≤ s< p, s< k and. We obtain conditions under which the above problem admits a minimizer.

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