Results 11 to 20 of about 424 (60)
Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian [PDF]
, 2013 Let $\Omega$ be a bounded open interval, and let $p>1$ and $q\in\left(0,p-1\right) $. Let $m\in L^{p^{\prime}}\left(\Omega\right) $ and $0\leq c\in L^{\infty}\left(\Omega\right) $.
Kaufmann, Uriel, Medri, Ivan
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A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]
, 2014 We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions ...
Cabada, Alberto +2 more
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Existence and nonexistence of entire solutions to the logistic differential equation
Abstract and Applied Analysis, Volume 2003, Issue 17, Page 995-1003, 2003., 2003 We consider the one‐dimensional logistic problem (rαA(|u′|)u′) ′=rαp(r)f(u) on (0, ∞), u(0) > 0, u′(0) = 0, where α is a positive constant and A is a continuous function such that the mapping tA(|t|) is increasing on (0, ∞). The framework includes the case where f and p are continuous and positive on (0, ∞), f(0) = 0, and f is nondecreasing.
Marius Ghergu, Vicenţiu Rădulescu
wiley +1 more source
Advances in Nonlinear Analysis, 2017 We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there exists a positive radially symmetric ground state if either the coupling coefficient ...
Colorado Eduardo
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The existence of infinitely many boundary blow-up solutions to the p-k-Hessian equation
Advanced Nonlinear Studies, 2023 The primary objective of this article is to analyze the existence of infinitely many radial pp-kk-convex solutions to the boundary blow-up pp-kk-Hessian problem σk(λ(Di(∣Du∣p−2Dju)))=H(∣x∣)f(u)inΩ,u=+∞on∂Ω.{\sigma }_{k}\left(\lambda \left({D}_{i}\left({|
Feng Meiqiang, Zhang Xuemei
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Open Mathematics, 2018 In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which
Hao Xinan, Wang Huaqing
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Open Mathematics, 2021 This paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the ϕ-Laplacian equation (ϕ(u′))′+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where ϕ is a ...
Boscaggin Alberto +2 more
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Oscillatory bifurcation problems for ODEs with logarithmic nonlinearity
Open Mathematics, 2021 We study the global structure of the oscillatory perturbed bifurcation problem which comes from the stationary logarithmic Schrödinger equation −u″(t)=λ(log(1+u(t))+sinu(t)),u(t)>0,t∈I≔(−1,1),u(±1)=0,-{u}^{^{\prime\prime} }\left(t)=\lambda (\log \left(1 ...
Shibata Tetsutaro
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Multiple Positive solutions of a $(p_1,p_2)$-Laplacian system with nonlinear BCs [PDF]
, 2015 Using the theory of fixed point index, we discuss existence, non-existence, localization and multiplicity of positive solutions for a $(p_1,p_2)$-Laplacian system with nonlinear Robin and/or Dirichlet type boundary conditions.
Cianciaruso, Filomena +1 more
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Open Mathematics, 2021 We study the bifurcation diagrams and exact multiplicity of positive solutions for the one-dimensional prescribed mean curvature equation −u′1+u′2′=λu1+up,−LL∗L\gt {L}^{\ast }, and is exactly decreasing for λ>λ∗\lambda \gt {\lambda }^{\ast } if ...
Zhang Jiajia +3 more
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