Results 51 to 60 of about 984 (92)

Existence and concentration of ground-states for fractional Choquard equation with indefinite potential

Advances in Nonlinear Analysis, 2022
This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
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Periodic solutions for a coupled system of wave equations with x-dependent coefficients

Advanced Nonlinear Studies
This paper is concerned with the periodic solutions for a coupled system of wave equations with x-dependent coefficients. Such a model arises naturally when two waves propagate simultaneously in the nonisotrpic media.
Deng Jiayu, Ji Shuguan
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On the Fractional NLS Equation and the Effects of the Potential Well’s Topology

Advanced Nonlinear Studies, 2021
In this paper we consider the fractional nonlinear Schrödinger ...
Cingolani Silvia, Gallo Marco
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A Functional Analytic Perspective to the div-curl Lemma [PDF]

, 2017
We present an abstract functional analytic formulation of the celebrated $\dive$-$\curl$ lemma found by F.~Murat and L.~Tartar. The viewpoint in this note relies on sequences for operators in Hilbert spaces.
Waurick, Marcus
core   +1 more source

lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods

Open Mathematics, 2017
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in ...
Li Peiluan, Shang Youlin
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Stability of Solitary Waves for a Generalized Derivative Nonlinear Schr\"odinger Equation [PDF]

, 2012
We consider a derivative nonlinear Schr\"odinger equation with a general nonlinearity. This equation has a two parameter family of solitary wave solutions. We prove orbital stability/instability results that depend on the strength of the nonlinearity and,
Liu, Xiao, Simpson, Gideon, Sulem, Catherine   +2 more
core  

A result of instability for two-temperatures Cosserat bodies

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In our study we consider a generalized thermoelasticity theory based on a heat conduction equation in micropolar bodies. Specifically, the heat conduction depends on two distinct temperatures, the conductive temperature and the thermodynamic temperature.
Marin M., Vlase S., Fudulu I.M.
doaj   +1 more source

Existence of solutions for a nonlinear problem at resonance

Demonstratio Mathematica, 2022
In this work, we are interested at the existence of nontrivial solutions for a nonlinear elliptic problem with resonance part and nonlinear boundary conditions. Our approach is variational and is based on the well-known Landesman-Laser-type conditions.
Haddaoui Mustapha, Lebrimchi Hafid, Ouhamou Brahim, Tsouli Najib   +3 more
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Solutions of stationary McKean–Vlasov equation on a high-dimensional sphere and other Riemannian manifolds

Advances in Nonlinear Analysis
We study stationary solutions of McKean–Vlasov equation on a high-dimensional sphere and other compact Riemannian manifolds. We extend the equivalence of the energetic problem formulation to the manifold setting and characterize critical points of the ...
Shalova Anna, Schlichting André
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Normalized ground-states for the Sobolev critical Kirchhoff equation with at least mass critical growth

Open Mathematics
In this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
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