Results 61 to 70 of about 184 (121)
Advances in Nonlinear Analysis, 2015 In this paper we are concerned with the existence of infinitely-many solutions for fractional Hamiltonian systems of the form tD∞α(-∞Dtαu(t))+L(t)u(t)=∇W(t,u(t))${\,}_tD^{\alpha }_{\infty }(_{-\infty }D^{\alpha }_{t}u(t))+L(t)u(t)=\nabla W(t,u(t ...
Zhang Ziheng, Yuan Rong
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Lions-type theorem of the p-Laplacian and applications
Advances in Nonlinear Analysis, 2021 In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.
Su Yu, Feng Zhaosheng
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Advances in Nonlinear Analysis, 2021 In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
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Periodic solutions for a coupled system of wave equations with x-dependent coefficients
Advanced Nonlinear StudiesThis 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 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
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Existence and evenness of solitary-wave solutions for an equation of short and long dispersive waves
, 2015 We study the existence and some properties of solitary-wave solutions for an interaction equation between a long internal wave and a short surface wave in a two-layer fluid.
Angulo, J, Montenegro, JF
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NUMERICAL HOMOGENIZATION OF FRACTAL INTERFACE PROBLEMS [PDF]
, 2020 We consider the numerical homogenization of a class of fractal elliptic interface problems inspired by related mechanical contact problems from the geosciences. A particular feature is that the solution space depends on the actual fractal geometry. Our
YSERENTANT, HARRY +2 more
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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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Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations
, 2009 a b s t r a c t Article history: Received 16 April 2008 Revised 5 September 2008 Available online 22 October 2008 MSC: primary 35J60 secondary 35B05, 35A15 We prove nondegeneracy of extremals for some Hardy–Sobolev– Maz’ya inequalities and ...
MANCINI, Giovanni +11 more
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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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