Results 81 to 90 of about 472 (105)
A higher order system of some coupled nonlinear Schrödinger and Korteweg-de Vries equations [PDF]
arXiv, 2016 We prove existence and multiplicity of bound and ground state solutions, under appropriate conditions on the parameters, for a bi-harmonic stationary system of coupled nonlinear Schr\"odinger--Korteweg-de Vries equations.
arxiv
A note on the existence of H-bubbles via perturbation methods [PDF]
arXiv, 2003 We study the problem of existence of surfaces in ${\bf R}^3$ parametrized on the sphere ${\mathbb S}^2$ with prescribed mean curvature $H$ in the perturbative case, i.e. for $H=H_0+\epsilon H_1$, where $H_0$ is a nonzero constant, $H_1$ is a $C^2$ function and $\epsilon$ is a small perturbation parameter.
arxiv
Coupled nonlinear Schrodinger systems with potentials [PDF]
arXiv, 2005 Coupled nonlinear Schrodinger systems describe some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive media in optics and Bose-Einstein condensates. In this paper, we study the existence of concentrating solutions of a singularly perturbed coupled nonlinear Schrodinger system, in presence of potentials.
arxiv
Existence and properties of soliton solution for the quasilinear Schrödinger system
Open MathematicsIn this article, we consider the following quasilinear Schrödinger system: −εΔu+u+k2ε[Δ∣u∣2]u=2αα+β∣u∣α−2u∣v∣β,x∈RN,−εΔv+v+k2ε[Δ∣v∣2]v=2βα+β∣u∣α∣v∣β−2v,x∈RN,\left\{\begin{array}{ll}-\varepsilon \Delta u+u+\frac{k}{2}\varepsilon \left[\Delta \hspace{-0 ...
Zhang Xue, Zhang Jing
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Poisson-Gradient Dynamical Systems with Bounded Non-Linearity [PDF]
arXiv, 2005 We study the periodical solutions of a Poisson-gradient PDEs system with bounded nonlinearity. Section 1 introduces the basic spaces and functionals. Section 2 studies the weak differential of a function and establishes an inequality. Section 3 formulates some conditions under which the action functional is continuously differentiable.
arxiv
Normalized solutions for the Choquard equations with critical nonlinearities
Advances in Nonlinear AnalysisThis study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
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Symmetry of local minimizers for the three dimensional Ginzburg-Landau functional [PDF]
arXiv, 2008 We classify nonconstant entire local minimizers of the standard Ginzburg-Landau functional for maps in $H^{1}_{loc}(R^3;R^3)$ satisfying a natural energy bound. Up to translations and rotations, such solutions of the Ginzburg-Landau system are given by an explicit solution equivariant under the action of the orthogonal group.
arxiv
On phase segregation in nonlocal two-particle Hartree systems [PDF]
arXiv, 2008 We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.
arxiv
Radial Solutions for Hamiltonian Elliptic Systems with Weights [PDF]
arXiv, 2008 We prove the existence of infinitely many radial solutions for elliptic systems in Rn with power weights. A key tool for the proof will be a weighted imbedding theorem for fractional-order Sobolev spaces, that could be of independent interest.
arxiv
On the Hölder continuity for a class of vectorial problems
Advances in Nonlinear Analysis, 2019 In this paper we prove local Hölder continuity of vectorial local minimizers of special classes of integral functionals with rank-one and polyconvex integrands.
Cupini Giovanni +3 more
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