English

Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds

Analysis of PDEs 2017-04-11 v2

Abstract

Using a variational method we prove the existence of nodal solutions to prescribed scalar Q- curvature type equations on compact Riemannian manifolds with boundary; these equations are fourth-order elliptic equations with critical Sobolev growth .

Keywords

Cite

@article{arxiv.1610.04916,
  title  = {Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds},
  author = {Mohamed Bekiri and Mohammed Benalili},
  journal= {arXiv preprint arXiv:1610.04916},
  year   = {2017}
}

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