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arXiv · 1709.03737

Multiplicity and concentration results for some nonlinear Schr\"odinger equations with the fractional $p$-Laplacian

Vincenzo Ambrosio·Teresa Isernia
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Abstract

We consider a class of parametric Schr\"odinger equations driven by the fractional $p$-Laplacian operator and involving continuous positive potentials and nonlinearities with subcritical or critical growth. By using variational methods and Ljusternik-Schnirelmann theory, we study the existence, multiplicity and concentration of positive solutions for small values of the parameter.

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Vincenzo Ambrosio, Teresa Isernia. 2017-09-12. Multiplicity and concentration results for some nonlinear Schr\"odinger equations with the fractional $p$-Laplacian. https://doi.org/10.3934/dcds.2018254

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