On the existence of ground state solutions to critical growth problems nonresonant at zero

Kanishka Perera

doi:10.5802/crmath.270

Partial differential equations

On the existence of ground state solutions to critical growth problems nonresonant at zero

Kanishka Perera ¹

¹Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA

Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1161-1164

Abstract

We prove the existence of ground state solutions to critical growth $p$ -Laplacian and fractional $p$ -Laplacian problems that are nonresonant at zero.

Article information
Cite this article

Received: 2021-06-23
Accepted: 2021-09-08
Published online: 2021-11-03

DOI: 10.5802/crmath.270

Classification: 35B33, 35J92, 35R11

Author's affiliations:

Kanishka Perera ¹

¹ Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA

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CC-BY 4.0

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Kanishka Perera. On the existence of ground state solutions to critical growth problems nonresonant at zero. Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1161-1164. doi: 10.5802/crmath.270

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