Multiplicity and concentration results for fractional Schrödinger system with steep potential wells
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DOI: 10.1016/j.jmaa.2019.03.021
Abstract: Abstract This paper is concerned with the fractional coupled Schrodinger system. By using the Nehari manifold and fibering map, we obtain the multiplicity and concentration of solutions for the given problem with steep potential wells,… read more here.
Keywords: steep potential; system; multiplicity concentration; potential wells ... See more keywords
Multiplicity and concentration of solutions to a fractional (p,p1)-Laplace problem with exponential growth
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125667
Abstract: Abstract In this paper, we study the Schrodinger equation involving the fractional ( p , p 1 ) -Laplacian and Trudinger-Moser nonlinearity as follows ( − Δ ) N / s s u + (… read more here.
Keywords: multiplicity concentration; growth; problem; exponential growth ... See more keywords
Multiplicity and Concentration Results for a Magnetic Schrödinger Equation With Exponential Critical Growth in ℝ2
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DOI: 10.1093/imrn/rnaa074
Abstract: In this paper we study the following nonlinear Schrödinger equation with magnetic field $$\begin{align*} \left(\frac{\varepsilon}{i}\nabla-A(x)\right)^{2}u+V(x)u=f(| u|^{2})u,\quad x\in\mathbb{R}^{2}, \end{align*}$$where $\varepsilon>0$ is a parameter, $V:\mathbb{R}^{2}\rightarrow \mathbb{R}$ and $A: \mathbb{R}^{2}\rightarrow \mathbb{R}^{2}$ are continuous potentials, and $f:\mathbb{R}\rightarrow \mathbb{R}$ has… read more here.
Keywords: dinger equation; critical growth; exponential critical; multiplicity concentration ... See more keywords
Multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions
Sign Up to like & getrecommendations! Published in 2021 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2021096
Abstract: The aim of this paper is to study the multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions and concave-convex nonlinearities with subcritical or critical growth. Applying Nehari… read more here.
Keywords: concentration positive; kirchhoff type; multiplicity concentration; positive solutions ... See more keywords