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.
Amann–Zehnder type results for p-Laplace problems / Cingolani, Silvia; Degiovanni, Marco; Vannella, Giuseppina. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 197:2(2018), pp. 605-640. [10.1007/s10231-017-0694-8]
Amann–Zehnder type results for p-Laplace problems
Silvia Cingolani;Giuseppina Vannella
2018-01-01
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:
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