Results 21 to 30 of about 741 (89)
Optimal Hardy-weights for the $(p,A)$-Laplacian with a potential term [PDF]
arXiv, 2021 We construct new optimal $L^p$ Hardy-type inequalities for elliptic Schr\"odinger-type ...
arxiv
On some nonlinear Schrödinger equations in $\bbr^N$ [PDF]
arXiv, 2021 In this paper, we introduce some new ideas to study Schrodinger equations in RN with power-type nonlinearities.
arxiv
Positive solutions for a nonhomogeneous Schrödinger-Poisson system
Advances in Nonlinear Analysis, 2022 In this article, we consider the following Schrödinger-Poisson system: −Δu+u+k(x)ϕ(x)u=f(x)∣u∣p−1u+g(x),x∈R3,−Δϕ=k(x)u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+u+k\left(x)\phi \left(x)u=f\left(x)| u{| }^{p-1}u+g\left(x),& x\in {{\mathbb{R}}}^{3 ...
Zhang Jing, Niu Rui, Han Xiumei
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Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, we study the existence of periodic and non-negative periodic solutions of the nonlinear neutral differential equation ddtx(t)=−a (t) h (x (t))+ddtQ (t, x (t−τ (t)))+G (t, x(t), x (t−τ (t))).$${{\rm{d}} \over {{\rm{dt}}}}{\rm{x}}({\rm{t}}) =
Mesmouli Mouataz Billah +2 more
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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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Nonzero positive solutions of a multi-parameter elliptic system with functional BCs
, 2017 We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of
Infante, Gennaro
core +1 more source
Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation [PDF]
arXiv, 2022 We establish Harnack's estimates for positive weak solutions to a mixed local and nonlocal doubly nonlinear parabolic equation. All results presented in this paper are provided together with quantitative estimates.
arxiv
Eigenvalues of elliptic functional differential systems via a Birkhoff--Kellogg type theorem [PDF]
Mathematics 2021, 9, no. 1: 4, 2020 Motivated by recent interest on Kirchhoff-type equations, in this short note we utilize a classical, yet very powerful, tool of nonlinear functional analysis in order to investigate the existence of positive eigenvalues of systems of elliptic functional differential equations. An example is presented to illustrate the theory.
arxiv +1 more source
Touchdown solutions in general MEMS models
Advances in Nonlinear Analysis, 2023 We study general problems modeling electrostatic microelectromechanical systems devices (Pλ )φ(r,−u′(r))=λ∫0rf(s)g(u(s))ds,r∈(0,1 ...
Clemente Rodrigo +3 more
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