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arXiv · 1703.10828

On a $(p,q)$-Laplacian problem with parametric concave term and asymmetric perturbation

Salvatore Marano·Sunra Mosconi·Nikolaos Papageorgiou
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Abstract

A Dirichlet problem driven by the $(p,q)$-Laplace operator and an asymmetric concave reaction with positive parameter is investigated. Four nontrivial smooth solutions (two positive, one negative, and the remaining nodal) are obtained once the parameter turns out to be sufficiently small. Under a oddness condition near the origin for the perturbation, a whole sequence of sign-changing solutions, which converges to zero, is produced.

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Salvatore Marano, Sunra Mosconi, Nikolaos Papageorgiou. 2017-03-31. On a $(p,q)$-Laplacian problem with parametric concave term and asymmetric perturbation. https://arxiv.org/abs/1703.10828

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