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math.AP2019
Quasilinear problems without the Ambrosetti-Rabinowitz condition
Anna Maria Candela, Genni Fragnelli, Dimitri Mugnai
We show the existence of nontrivial solutions for a class of highly quasilinear problems in which the governing operators depend on the unknown function. By using a suitable variat…
math.AP2019
Neumann fractional Laplacian: eigenvalues and existence results
Dimitri Mugnai, Edoardo Proietti Lippi
We develop some properties of the Neumann derivative for the fractional Laplacian in bounded domains with general . In particular, we prove the existence of a divergin…