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Infinitely Many Solutions for a Non-homogeneous Differential Inclusion with Lack of Compactness

Advanced Nonlinear Studies, 2019
In this paper, we consider the following class of differential inclusion problems in ℝN{\mathbb{R}^{N}} involving the p⁢(x){p(x)}-Laplacian:
Ge Bin, Rădulescu Vicenţiu D.
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Concentrating solutions for double critical fractional Schrödinger-Poisson system with p-Laplacian in ℝ3

Advances in Nonlinear Analysis
In this article, we consider the following double critical fractional Schrödinger-Poisson system involving p-Laplacian in R3{{\mathbb{R}}}^{3} of the form: εsp(−Δ)psu+V(x)∣u∣p−2u−ϕ∣u∣ps♯−2u=∣u∣ps*−2u+f(u)inR3,εsp(−Δ)sϕ=∣u∣ps♯inR3,\left\{\begin{array}{l}{\
Liang Shuaishuai, Song Yueqiang, Shi Shaoyun +2 more
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An Improved Fountain Theorem and Its Application

Advanced Nonlinear Studies, 2017
The main aim of the paper is to prove a fountain theorem without assuming the τ-upper semi-continuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with ...
Gu Long-Jiang, Zhou Huan-Song
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Critical configurations of planar robot arms