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arXiv · 1611.02640

Amann-Zehnder type results for p-Laplace problems

Silvia Cingolani·Marco Degiovanni·Giuseppina Vannella
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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.

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Silvia Cingolani, Marco Degiovanni, Giuseppina Vannella. 2016-11-08. Amann-Zehnder type results for p-Laplace problems. https://doi.org/10.1007/s10231-017-0694-8

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