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

Kanishka Perera

doi:10.5802/crmath.270

Équations aux dérivées partielles

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

Kanishka Perera ¹

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

Comptes Rendus. Mathématique, Volume 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 :

Kanishka Perera 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},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {9},
     year = {2021},
     doi = {10.5802/crmath.270},
     language = {en},
}

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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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.270/

Bibliographie
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