Global Solutions to a Nonlocal Fisher-KPP Type Problem
Sign Up to like & getrecommendations! Published in 2017 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-016-0075-0
Abstract: We consider a nonlocal Fisher-KPP reaction-diffusion model arising from population dynamics, consisting of a certain type reaction term uα(1−∫Ωuβdx)$u^{\alpha} ( 1-\int_{\varOmega}u^{\beta}dx ) $, where Ω$\varOmega$ is a bounded domain in Rn(n≥1)$\mathbb{R}^{n}(n \ge1)$. The energy method… read more here.
Keywords: problem; solutions nonlocal; beta; fisher kpp ... See more keywords
Soliton solutions in nonlocal nonlinear coupler
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DOI: 10.1007/s11071-016-3255-6
Abstract: We study the existence of soliton pairs in nonlocal nonlinear coupler and the effects of nonlocal nonlinearity on the stability and types of soliton pairs. Bright soliton, dipole soliton, periodic soliton, double soliton and dark… read more here.
Keywords: nonlocal nonlinear; solutions nonlocal; soliton; soliton solutions ... See more keywords
Monotonicity of positive solutions for nonlocal problems in unbounded domains
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2021.109187
Abstract: Abstract In this paper, we consider the following problem { ( − Δ ) p s u ( x ) = f ( u ) , u ( x ) > 0 in Ω ,… read more here.
Keywords: monotonicity positive; positive solutions; solutions nonlocal; nonlocal problems ... See more keywords
Three solutions for a nonlocal problem with critical growth
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.09.038
Abstract: The main goal of this work is to prove the existence of three different solutions (one positive, one negative and one with nonconstant sign) for the equation $(-\Delta_p)^s u= |u|^{p^{*}_s -2} u +\lambda f(x,u)$ in… read more here.
Keywords: three solutions; solutions nonlocal; nonlocal problem; critical growth ... See more keywords
Non-existence of positive solutions to nonlocal Lane-Emden equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124067
Abstract: Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup theory. Then the non-existence of… read more here.
Keywords: nonlocal lane; solutions nonlocal; positive solutions; existence positive ... See more keywords
Cauchy Matrix Type Solutions for the Nonlocal Nonlinear Schrödinger Equation
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DOI: 10.1016/s0034-4877(19)30070-9
Abstract: In this paper, we study some Cauchy matrix type solutions for the nonlocal nonlinear Schrodinger equations, including Cauchy matrix type multisoliton solutions and Cauchy matrix type Jordan block solutions. These solutions are obtained from the… read more here.
Keywords: nonlocal nonlinear; cauchy matrix; solutions nonlocal; type solutions ... See more keywords
Nontrivial weak solutions for nonlocal nonhomogeneous elliptic problems
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DOI: 10.1080/00036811.2020.1778674
Abstract: This article concerns the following class of nonlocal nonhomogeneous elliptic problems: − ∫ Ω g ( x , u ) d x β div ( a ( x ) ∇ u ) = (… read more here.
Keywords: solutions nonlocal; weak solutions; nontrivial weak; nonlocal nonhomogeneous ... See more keywords
Multiple solutions of a nonlocal system with singular nonlinearities
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DOI: 10.1142/s0129167x21500725
Abstract: In this work, we study the fractional Laplacian equation with singular nonlinearity: [Formula: see text] where [Formula: see text] is a bounded domain in [Formula: see text] with smooth boundary [Formula: see text], [Formula: see… read more here.
Keywords: multiple solutions; solutions nonlocal; formula see; see text ... See more keywords
Existence of Mild Solutions for Nonlocal Evolution Equations with the Hilfer Derivatives
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DOI: 10.1155/2023/8662375
Abstract: The existence of mild solutions for Hilfer fractional evolution equations with nonlocal conditions in a Banach space is investigated in this manuscript. No assumptions about the compactness of a function or the Lipschitz continuity of… read more here.
Keywords: function; existence mild; evolution equations; solutions nonlocal ... See more keywords
Nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/2018.938
Abstract: This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is… read more here.
Keywords: nontrivial solutions; problems nonlinear; solutions nonlocal; boundary value ... See more keywords
Multiplicity of Positive Solutions to Nonlocal Boundary Value Problems with Strong Singularity
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DOI: 10.3390/axioms11010007
Abstract: In this paper, we consider generalized Laplacian problems with nonlocal boundary conditions and a singular weight, which may not be integrable. The existence of two positive solutions to the given problem for parameter λ belonging… read more here.
Keywords: boundary value; value problems; multiplicity positive; solutions nonlocal ... See more keywords