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Peer-reviewedCC BYElectronic Journal of Differential Equations

Infinitely many solutions to critical problems involving the p-Grushin operator

  • Paolo Malanchini1
  • Giovanni Molica Bisci2
  • Simone Secchi1
  1. 1Univ. degli Studi di Milano, Italy
  2. 2San Raffaele Univ., Roma, Italy
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Abstract

We consider a critical problem in a bounded domain involving the p-Grushin operator. After a truncation argument, we obtain infinitely many solutions to our problem via Krasnoselskii's genus, extending a previous result of Garcia Azorero and Peral Alonso in [13] to the p-Grushin operator. A central part of our analysis is the verification of the Palais-Smale condition of the associated functional under a certain level.

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Cite

BibTeXRIS
BibTeX
@article{malanchini2026infinitely,
  title = {{Infinitely many solutions to critical problems involving the p-Grushin operator}},
  author = {Paolo Malanchini and Giovanni Molica Bisci and Simone Secchi},
  journal = {Electronic Journal of Differential Equations},
  year = {2026},
  month = aug,
  url = {http://ejde.math.txstate.edu/Volumes/2026/59/abstr.html},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Infinitely many solutions to critical problems involving the p-Grushin operator
AU  - Paolo Malanchini
AU  - Giovanni Molica Bisci
AU  - Simone Secchi
PY  - 2026
DA  - 2026/08/01
JO  - Electronic Journal of Differential Equations
UR  - http://ejde.math.txstate.edu/Volumes/2026/59/abstr.html
AB  - We consider a critical problem in a bounded domain involving the p-Grushin operator. After a truncation argument, we obtain infinitely many solutions to our problem via Krasnoselskii's genus, extending a previous result of Garcia Azorero and Peral Alonso in [13] to the p-Grushin operator. A central part of our analysis is the verification of the Palais-Smale condition of the associated functional under a certain level.
SN  - 1072-6691
ER  -