Results 51 to 60 of about 1,004 (109)

On the singularly perturbation fractional Kirchhoff equations: Critical case

Advances in Nonlinear Analysis, 2022
This article deals with the following fractional Kirchhoff problem with critical exponent a+b∫RN∣(−Δ)s2u∣2dx(−Δ)su=(1+εK(x))u2s∗−1,inRN,\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}| {\left(-\Delta )}^{\tfrac{s}{2}}u\hspace{-0.25em}{| }^{2}{\rm{d ...
Gu Guangze, Yang Zhipeng
doaj   +1 more source

A note on the Dancer-Fucik spectra of the fractional p-Laplacian and Laplacian operators

, 2014
We study the Dancer-Fucik spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p=2, we present a very accurate local analysis.
Perera, Kanishka, Squassina, Marco, Yang, Yang   +2 more
core   +1 more source

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
doaj   +1 more source

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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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
doaj   +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
doaj   +1 more source

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

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

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
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
doaj   +1 more source