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Remarks on the solvability of an elliptic equation with a supercritical term involving the Hardy–Leray potential

✍ Scribed by Merchán, Susana (author);Peral, Ireneo (author)

Book ID: 113722065
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 260 KB
Volume: 394
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.04.055

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## Abstract We consider the problem of minimizing 0<__p__<1, __h__∈ℝ, __σ__>0, among functions __u__:ℝ^__d__^⊃Ω→ℝ^__d__^, __u__~∣∂Ω~=0, and measurable characteristic functions χ:Ω→ℝ. Here ƒ^+^~__h__~, ƒ^−^, denote quadratic potentials defined on the space of all symmetric __d__×__d__ matrices, __