Results 11 to 20 of about 270 (53)
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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Symmetric results of a Hénon-type elliptic system with coupled linear part
Open Mathematics, 2022 In this article, we study the elliptic system: −Δu+μ1u=∣x∣αu3+λv,x∈Ω−Δv+μ2v=∣x∣αv3+λu,x∈Ωu,v>0,x∈Ω,u=v=0,x∈∂Ω,\left\{\begin{array}{ll}-\Delta u+{\mu }_{1}u=| x\hspace{-0.25em}{| }^{\alpha }{u}^{3}+\lambda v,& x\in \Omega \\ -\Delta v+{\mu }_{2}v=| x ...
Lou Zhenluo, Li Huimin, Zhang Ping
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Absence of Critical Points of Solutions to the Helmholtz Equation in 3D [PDF]
, 2016 The focus of this paper is to show the absence of critical points for the solutions to the Helmholtz equation in a bounded domain $\Omega\subset\mathbb{R}^{3}$, given by \[ \left\{ \begin{array}{l} -\rm{div}(a\,\nabla u_{\omega}^{g})-\omega qu_{\omega ...
Alberti, Giovanni S.
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On a class of nonlocal nonlinear Schrödinger equations with potential well
Advances 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
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Smoothness of solutions of a convolution equation of restricted type on the sphere
Forum of Mathematics, Sigma, 2021 Let $\mathbb {S}^{d-1}$ denote the unit sphere in Euclidean space $\mathbb {R}^d$, $d\geq 2$, equipped with surface measure $\sigma _{d-1}$. An instance of our main result concerns the regularity of solutions of the convolution equation $$\begin{align*}a\
Diogo Oliveira e Silva, René Quilodrán
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Gradient flows as a selection procedure for equilibria of nonconvex energies [PDF]
, 2006 For atomistic material models, global minimization gives the wrong qualitative behavior; a theory of equilibrium solutions needs to be defined in different terms.
Ortner, Christoph
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Infinitely many periodic solutions for ordinary p-Laplacian systems
Advances in Nonlinear Analysis, 2015 Some existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Tang Chun-Lei
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Critical Points for Elliptic Equations with Prescribed Boundary Conditions [PDF]
, 2017 This paper concerns the existence of critical points for solutions to second order elliptic equations of the form $\nabla\cdot \sigma(x)\nabla u=0$ posed on a bounded domain $X$ with prescribed boundary conditions. In spatial dimension $n=2$, it is known
Alberti, Giovanni S. +2 more
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Robust transitivity for endomorphisms admitting critical points [PDF]
, 2015 We address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets.
Iglesias, Jorge +2 more
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Quasilinear equations with indefinite nonlinearity
Advances in Nonlinear Analysis, 2018 In this paper, we are concerned with quasilinear equations with indefinite nonlinearity and explore the existence of infinitely many solutions.
Zhao Junfang +2 more
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