Minimizers and symmetric minimizers for problems with critical Sobolev exponent
نویسندگان
چکیده
منابع مشابه
Minimizers and symmetric minimizers for problems with critical Sobolev exponent
In this paper we will be concerned with the existence and non-existence of constrained minimizers in Sobolev spaces D(R ), where the constraint involves the critical Sobolev exponent. Minimizing sequences are not, in general, relatively compact for the embedding D(R) →֒ L ∗ (R , Q) when Q is a non-negative, continuous, bounded function. However if Q has certain symmetry properties then all minim...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2009
ISSN: 1230-3429
DOI: 10.12775/tmna.2009.044