Results 11 to 20 of about 93 (78)

On the existence of positive solutions of a class of parabolic reaction diffusion systems [PDF]

, 2022
In this paper, we show the existence of continuous positive solutions of a class of nonlinear parabolic reaction diffusion systems with initial conditions using techniques of functional analysis and potential analysis. Mathematics Subject Classification (
REDJOUH, Mounir, MESBAHI, Salim
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Positive solution for a class of coupled (p, q)-Laplacian nonlinear systems. [PDF]

, 2014
In this article, we prove the existence of a nontrivial positive solution for the elliptic system ⎧⎨ ⎩ –_pu = ω(x)f (v) in_, –_qv = ρ(x)g(u) in_, (u, v) = (0,0) on ∂_, where_p denotes the p-Laplacian operator, p, q > 1 and _ is a smooth bounded ...
Ferreira, Wenderson Marques, Martins, Eder Marinho   +1 more
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Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations [PDF]

, 2017
In this paper, the nonlocal boundary value problems for a class of nonlinear functional convection reaction-diffusion equations with the singular reaction function are studied by using the method of upper and lower solutions and monotone iterative ...
Yan, Baoqiang, Baoqiang Yan, Ma, Tianfu, Tianfu Ma   +3 more
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On a Kirchhoff Equation in Bounded Domains

Advanced Nonlinear Studies, 2018
In this paper, we consider the following Kirchhoff equation:
Huang Yisheng, Wu Yuanze
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Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities

Advances in Nonlinear Analysis, 2021
We study the following Kirchhoff type equation:
Che Guofeng, Wu Tsung-fang
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On the existence and multiplicity of solutions to fractional Lane-Emden elliptic systems involving measures

Advances in Nonlinear Analysis, 2020
We study positive solutions to the fractional Lane-Emden ...
Bhakta Mousomi, Nguyen Phuoc-Tai
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Existence and concentration of ground-states for fractional Choquard equation with indefinite potential

Advances in Nonlinear Analysis, 2022
This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
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Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity

Advanced Nonlinear Studies, 2023
In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro, Okabe Shinya, Sato Tokushi   +2 more
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Ground States of a 𝐾-Component Critical System with Linear and Nonlinear Couplings: The Attractive Case

Advanced Nonlinear Studies, 2019
Consider the ...
Wu Yuanze
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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, Perera Kanishka, Sk Firoj   +2 more
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