The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related to the p-area functional, and a nonlinearity with p-linear growth at infinity. To this aim, Morse theory techniques are combined with critical groups estimates.

Cingolani, S., Degiovanni, M., Vannella, G., Amann-Zehnder type results for p-Laplace problems, <<ANNALI DI MATEMATICA PURA ED APPLICATA>>, 2018; 197 (2): 605-640. [doi:10.1007/s10231-017-0694-8] [http://hdl.handle.net/10807/116639]

Amann-Zehnder type results for p-Laplace problems

Degiovanni, Marco
Secondo
;
2018

Abstract

The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related to the p-area functional, and a nonlinearity with p-linear growth at infinity. To this aim, Morse theory techniques are combined with critical groups estimates.
2018
Inglese
Cingolani, S., Degiovanni, M., Vannella, G., Amann-Zehnder type results for p-Laplace problems, <<ANNALI DI MATEMATICA PURA ED APPLICATA>>, 2018; 197 (2): 605-640. [doi:10.1007/s10231-017-0694-8] [http://hdl.handle.net/10807/116639]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/116639
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