Results 71 to 80 of about 1,005 (120)
At least three solutions for the Hamiltonian system and reduction method
Journal of Inequalities and Applications, 2013 We investigate the multiplicity of solutions for the Hamiltonian system with some asymptotically linear conditions. We get a theorem which shows the existence of at least three 2π-periodic solutions for the asymptotically linear Hamiltonian system.
Tacksun Jung, Q. Choi
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Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well
Advanced Nonlinear Studies, 2022 In this article, we investigate the existence of least energy sign-changing solutions for the following Schrödinger-Poisson system −Δu+V(x)u+K(x)ϕu=f(u),x∈R3,−Δϕ=K(x)u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u+K\left(x)\phi u=f\left(u),\hspace{1.
Chen Xiao-Ping, Tang Chun-Lei
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Nonlinear equations involving the square root of the Laplacian
, 2018 In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian $A_{1/2}$ in a smooth bounded domain $\Omega\subset \mathbb{R}^n$ ($n\geq 2$) and with zero Dirichlet
Ambrosio, Vincenzo +2 more
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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 +3 more
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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
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, 2017 This paper is concerned with the following fractional Schr\"odinger equation \begin{equation*} \left\{ \begin{array}{ll} (-\Delta)^{s} u+u= k(x)f(u)+h(x) \mbox{ in } \mathbb{R}^{N}\\ u\in H^{s}(\R^{N}), \, u>0 \mbox{ in } \mathbb{R}^{N}, \end{array ...
Ambrosio, Vincenzo, Hajaiej, Hichem
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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 +2 more
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Local versus nonlocal elliptic equations: short-long range field interactions
Advances in Nonlinear Analysis, 2020 In this paper we study a class of one-parameter family of elliptic equations which combines local and nonlocal operators, namely the Laplacian and the fractional Laplacian.
Cassani Daniele +2 more
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Multiple solutions for critical Choquard-Kirchhoff type equations
Advances in Nonlinear Analysis, 2020 In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents,
Liang Sihua +2 more
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Elliptic semi-linear systems on R\sp N
, 2010 In this work we consider a system of k non-linear elliptic equations where the non-linear term is the sum of a quadratic form and a sub-critic term. We show that under suitable assumptions, e.g.
Garrisi, Daniele
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