Multiple Solutions for a Fractional $p$-Laplacian Equation with Concave Nonlinearities

Ruichang Pei

doi:10.4208/jpde.v33.n2.1

Multiple Solutions for a Fractional $p$-Laplacian Equation with Concave Nonlinearities

Authors

Ruichang Pei School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, China.

DOI:

https://doi.org/10.4208/jpde.v33.n2.1

Keywords:

Fractional $p$-Laplacian problems, Morse theory, concave nonlinearities, existence and multiplicity of solutions.

Abstract

We investigate a fractional $p$-Laplacian equation with right-hand-side nonlinearity which exhibits $(p-1)$-sublinear term of the form $\lambda |u|^{q-2},\, q

Downloads

Preview
Requires Subscription Full PDF

Published

2020-05-12

Abstract View

47513

Pdf View

2378

Issue

Vol. 33 No. 2 (2020)

Section

Articles

How to Cite

Multiple Solutions for a Fractional $p$-Laplacian Equation with Concave Nonlinearities. (2020). Journal of Partial Differential Equations, 33(2), 93-108. https://doi.org/10.4208/jpde.v33.n2.1