@Article{JPDE-33-93,
author = {Pei , Ruichang},
title = {Multiple Solutions for a Fractional $p$-Laplacian Equation with Concave Nonlinearities},
journal = {Journal of Partial Differential Equations},
year = {2020},
volume = {33},
number = {2},
pages = {93--108},
abstract = {<p style="text-align: justify;">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&lt;p $ (concave term), and a continuous term $f(x,u)$ which is respectively $(p-1)$-superlinear or asymptotically $(p-1)$-linear at infinity. Some existence results for multiple nontrivial solutions are established by using variational methods combined with the Morse theory.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v33.n2.1},
url = {http://global-sci.org/intro/article_detail/jpde/16853.html}
}