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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
