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

Perera, Kanishka

doi:10.5802/crmath.270

Équations aux dérivées partielles

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

Perera, Kanishka ¹

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

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

Résumé

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

Reçu le : 2021-06-23
Accepté le : 2021-09-08
Publié le : 2021-11-03

DOI : 10.5802/crmath.270

Classification : 35B33, 35J92, 35R11

Affiliations des auteurs :

Perera, Kanishka ¹

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

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {On the existence of ground state solutions to critical growth problems nonresonant at zero},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1161--1164},
     year = {2021},
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     volume = {359},
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     url = {https://www.numdam.org/articles/10.5802/crmath.270/}
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Perera, Kanishka. On the existence of ground state solutions to critical growth problems nonresonant at zero. Comptes Rendus. Mathématique, Tome 359 (2021) no. 9, pp. 1161-1164. doi: 10.5802/crmath.270

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