Results 61 to 70 of about 195 (91)
Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system
Advances in Nonlinear AnalysisThis article is concerned with the following Hamiltonian elliptic system: −ε2Δu+εb→⋅∇u+u+V(x)v=Hv(u,v)inRN,−ε2Δv−εb→⋅∇v+v+V(x)u=Hu(u,v)inRN,\left\{\begin{array}{l}-{\varepsilon }^{2}\Delta u+\varepsilon \overrightarrow{b}\cdot \nabla u+u+V\left(x)v={H}_ ...
Zhang Jian, Zhou Huitao, Mi Heilong
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Advanced Nonlinear StudiesIn this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia +2 more
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On the spectrum of Robin boundary p-Laplacian problem
Moroccan Journal of Pure and Applied Analysis, 2019 We study the following nonlinear eigenvalue problem with nonlinear Robin boundary ...
Khalil Abdelouahed El
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Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities
Advances in Nonlinear AnalysisIn this article, we study the following quasilinear equation with nonlocal nonlinearity −Δu−κuΔ(u2)+λu=(∣x∣−μ*F(u))f(u),inRN,-\Delta u-\kappa u\Delta \left({u}^{2})+\lambda u=\left({| x| }^{-\mu }* F\left(u))f\left(u),\hspace{1em}\hspace{0.1em}\text{in ...
Jia Yue, Yang Xianyong
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The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T2n
Advanced Nonlinear Studies, 2019 We show that the E-cohomological Conley index, that was introduced by the first author recently, has a natural module structure. This yields a new cup-length and a lower bound for the number of critical points of functionals on Hilbert spaces.
Starostka Maciej, Waterstraat Nils
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Advanced Nonlinear Studies, 2019 We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN{\mathbb{R}^{N}} (N≥2{N\geq 2}):
Hirata Jun, Tanaka Kazunaga
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A pathological example in nonlinear spectral theory
Advances in Nonlinear Analysis, 2017 We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
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On Critical p-Laplacian Systems
Advanced Nonlinear Studies, 2017 We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
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Existence Results for Solutions to Nonlinear Dirac Systems on Compact Spin Manifolds
Advanced Nonlinear Studies, 2018 In this article, we study the existence of solutions for the Dirac ...
Yang Xu
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Infinitely many solutions for non-local problems with broken symmetry
Advances in Nonlinear Analysis, 2018 The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella +2 more
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