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Volume 37, Issue 1
Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds

Youssef Maliki & Fatima Zohra Terki

DOI: 10.4208/jpde.v37.n1.1

J. Part. Diff. Eq., 37 (2024), pp. 1-24.

Published online: 2024-02

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  • Abstract

We prove the existence of multiple solutions of an elliptic equation with critical Sobolev growth and critical Hardy potential on compact Riemannian manifolds.

  • Keywords

Riemannian manifolds, Yamabe equation, Hardy potential.

  • AMS Subject Headings

58J05, 35A01

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-37-1, author = {Maliki , Youssef and Terki , Fatima Zohra}, title = {Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds}, journal = {Journal of Partial Differential Equations}, year = {2024}, volume = {37}, number = {1}, pages = {1--24}, abstract = {

We prove the existence of multiple solutions of an elliptic equation with critical Sobolev growth and critical Hardy potential on compact Riemannian manifolds.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v37.n1.1}, url = {http://global-sci.org/intro/article_detail/jpde/22903.html} }
TY - JOUR T1 - Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds AU - Maliki , Youssef AU - Terki , Fatima Zohra JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 24 PY - 2024 DA - 2024/02 SN - 37 DO - http://doi.org/10.4208/jpde.v37.n1.1 UR - https://global-sci.org/intro/article_detail/jpde/22903.html KW - Riemannian manifolds, Yamabe equation, Hardy potential. AB -

We prove the existence of multiple solutions of an elliptic equation with critical Sobolev growth and critical Hardy potential on compact Riemannian manifolds.

Maliki , Youssef and Terki , Fatima Zohra. (2024). Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds. Journal of Partial Differential Equations. 37 (1). 1-24. doi:10.4208/jpde.v37.n1.1
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