Results 31 to 40 of about 752 (91)
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
, 2011 In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.Comment: Submitted 17-Jul-2011; revised 09-Oct-
Ammi, Moulay Rchid Sidi +1 more
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On a fractional Schrödinger-Poisson system with strong singularity
Open Mathematics, 2021 We investigate a fractional Schrödinger-Poisson system with strong singularity as follows: (−Δ)su+V(x)u+λϕu=f(x)u−γ,x∈R3,(−Δ)tϕ=u2,x∈R3,u>0,x∈R3,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+V\left(x)u+\lambda \phi u=f\left(x){u}^{-\gamma },& x\in ...
Yu Shengbin, Chen Jianqing
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A note on higher order fractional Hardy-Sobolev inequalities [PDF]
arXiv, 2020 We establish some qualitative properties of minimizers in the fractional Hardy--Sobolev inequalities of arbitrary order.
arxiv
On the solutions of a singular elliptic equation concentrating on a circle
Advances in Nonlinear Analysis, 2014 Let A={x∈ℝ2N+2 ...
Manna Bhakti B. +1 more
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A class of semipositone p-Laplacian problems with a critical growth reaction term
Advances in Nonlinear Analysis, 2019 We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
Perera Kanishka +2 more
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A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities
Advanced Nonlinear Studies, 2023 This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s}^{
Bhakta Mousomi +2 more
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Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
, 2015 We investigate the existence of ground state solutions for a class of nonlinear scalar field equations defined on whole real line, involving a fractional Laplacian and nonlinearities with Trudinger-Moser critical growth. We handle the lack of compactness
Miyagaki, Olímpio H. +2 more
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Beyond the classical strong maximum principle: Sign-changing forcing term and flat solutions
Advances in Nonlinear AnalysisWe show that the classical strong maximum principle, concerning positive supersolutions of linear elliptic equations vanishing on the boundary of the domain can be extended, under suitable conditions, to the case in which the forcing term is sign ...
Díaz Jesús Ildefonso +1 more
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The Hénon–Lane–Emden System: A Sharp Nonexistence Result
Advanced Nonlinear Studies, 2017 We deal with very weak positive supersolutions to the Hénon–Lane–Emden system on neighborhoods of the origin. In our main theorem we prove a sharp nonexistence result.
Carioli Andrea, Musina Roberta
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