Electron. J. Diff. Equ., Vol. 2013 (2013), No. 63, pp. 1-23.

Existence of solutions to singular fourth-order elliptic equations

Mohammed Benalili, Kamel Tahri

Abstract:
Using a method developed by Ambrosetti et al [1,2] we prove the existence of weak non trivial solutions to fourth-order elliptic equations with singularities and with critical Sobolev growth

Submitted October 3, 2012. Published March 1, 2013.
Math Subject Classifications: 58J05.
Key Words: Fourth-order elliptic equation; Hardy-Sobolev inequality; critical Sobolev exponent.

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Mohammed Benalili
Faculty of Sciences, Mathematics Dept.
University Aboubakr BelKaïd
Tlemcen, Algeria
email:m_benalili@mail.univ-tlemcen.dz
Kamel Tahri
Faculty of Sciences, Mathematics Dept.
University Aboubakr Belkaïd
Tlemcen, Algeria
email: tahri_kamel@yahoo.fr

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