Results 21 to 30 of about 80 (64)

On a class of nonlocal nonlinear Schrödinger equations with potential well

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
doaj   +1 more source

Asymptotic properties of critical points for subcritical Trudinger-Moser functional

open access: yesAdvanced Nonlinear Studies, 2023
On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
doaj   +1 more source

Generic properties of the Rabinowitz unbounded continuum

open access: yesAdvanced Nonlinear Studies, 2023
In this article, we prove that, generically in the sense of domain variations, any solution to a nonlinear eigenvalue problem is either nondegenerate or the Crandall-Rabinowitz transversality condition that is satisfied. We then deduce that, generically,
Bartolucci Daniele   +3 more
doaj   +1 more source

Asymptotic behavior of solutions for semilinear volterra diffusion equations with spatial inhomogeneity and advection

open access: yes, 2016
. This paper is concerned with semilinear Volterra diffusion equations with spatial inhomogeneity and advection. We intend to study the effects of interaction among diffusion, advection and Volterra integral under spatially inhomogeneous environments ...
Yusuke Yoshida, Yoshio Yamada
semanticscholar   +1 more source

Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations

open access: yesAdvances in Nonlinear Analysis, 2023
This article is directed to the study of the following Schrödinger-Poisson-Slater type equation: −ε2Δu+V(x)u+ε−α(Iα∗∣u∣2)u=λ∣u∣p−1uinRN,-{\varepsilon }^{2}\Delta u+V\left(x)u+{\varepsilon }^{-\alpha }\left({I}_{\alpha }\ast | u{| }^{2})u=\lambda | u{| }^{
Li Yiqing, Zhang Binlin, Han Xiumei
doaj   +1 more source

Groundstate for the Schrödinger-Poisson-Slater equation involving the Coulomb-Sobolev critical exponent

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we study the existence of ground state solutions for the Schrödinger-Poisson-Slater type equation with the Coulomb-Sobolev critical growth: −Δu+14π∣x∣∗∣u∣2u=∣u∣u+μ∣u∣p−2u,inR3,-\Delta u+\left(\frac{1}{4\pi | x| }\ast | u{| }^{2}\right)u=|
Lei Chunyu, Lei Jun, Suo Hongmin
doaj   +1 more source

A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equation

open access: yesTransactions of the American Mathematical Society, 2019
This work is mainly motivated by the study of periodic wave train solutions for the so-called Gurtin-McCamy equation. To that aim we construct a smooth center manifold for a rather general class of abstract second order semi-linear differential equations
A. Ducrot, Pierre Magal
semanticscholar   +1 more source

Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity

open access: yesAdvanced Nonlinear Studies, 2022
In the present paper, we study the existence of the normalized solutions for the following coupled elliptic system with quadratic nonlinearity −Δu−λ1u=μ1∣u∣u+βuvinRN,−Δv−λ2v=μ2∣v∣v+β2u2inRN,\left\{\begin{array}{ll}-\Delta u-{\lambda }_{1}u={\mu }_{1}| u|
Wang Jun, Wang Xuan, Wei Song
doaj   +1 more source

Existence and Asymptotic Profile of Nodal Solutions to Supercritical Problems

open access: yesAdvanced Nonlinear Studies, 2017
We establish the existence of nodal solutions to the supercritical ...
Clapp Mónica, Pacella Filomena
doaj   +1 more source

Ground State Solutions for a Semilinear Elliptic Equation Involving Concave-Convex Nonlinearities

open access: yes, 2013
This work is devoted to the existence and multiplicity properties of the ground state solutions of the semilinear boundary value problem−∆u=λa(x)u|u|q−2+ b(x)u|u|2 ∗−2 in a bounded domain coupled with Dirichlet boundary condition. Here 2∗ is the critical
Khazaee, Kohpar, Khademloo
semanticscholar   +1 more source

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