Search Results - "Rasouli, S H"
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Existence of Sign-Changing Solutions for a Nonlocal Problem of p-Kirchhoff Type
Published in Mediterranean journal of mathematics (01-10-2017)“…This work is devoted to study the existence of sign-changing solutions to nonlocal problems involving the p -Laplacian. Our approach is based on the…”
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An Existence Result for a Class of Chemically Reacting Systems with Sign-Changing Weights
Published in Journal of partial differential equations (01-03-2015)“…We prove the existence of positive solutions for the system {-△pu=λa(x)f(v)u^-a x∈Ω -△qv=λb(x)g(u)v^-β,x∈Ω u=v=0xEf,x∈Ωwhere △rz =-div(|z|^r-2 z), for r 〉1…”
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On a competition model with nonlocal diffusion arising from ecosystems
Published in Mathematical methods in the applied sciences (30-09-2023)“…The main goal of this paper is to investigate the existence of positive solutions of a competition model with nonlocal diffusion and nonhomogeneous harvesting…”
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Multiplicity results for p(x)-biharmonic equations with nonlinear boundary conditions
Published in Applicable analysis (02-11-2023)“…In this paper, we are interested in the existence of multiple weak solutions of the following fourth-order nonlinear elliptic problem with a -biharmonic…”
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On a minimization problem involving fractional Sobolev spaces on Nehari manifold
Published in Afrika mathematica (01-06-2023)“…The aim of this article is to study a minimization problem involving fractional Sobolev spaces on Nehari manifold via the variational methods. We show the…”
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A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system
Published in Nonlinear analysis (01-07-2009)“…In this work, motivated by [T.F. Wu, The Nehari manifold for a semilinear elliptic system involving sign-changing weight function, Nonlinear. Anal. 68 (2008)…”
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The Nehari manifold for a class of concave–convex elliptic systems involving the p -Laplacian and nonlinear boundary condition
Published in Nonlinear analysis (15-11-2010)“…The existence and multiplicity of weak solutions is established for a class of concave–convex elliptic systems of the form: { − Δ p u + m ( x ) | u | p − 2 u =…”
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A remark on the existence of positive weak solution for a class of ( p , q ) -Laplacian nonlinear system with sign-changing weight
Published in Nonlinear analysis (15-07-2010)“…In this article, we study the existence of positive weak solution for a class of ( p , q ) -Laplacian system { − Δ p u = λ a ( x ) f ( v ) , x ∈ Ω , − Δ q v =…”
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On a nonlinear system arising in a theory of thermal explosion
Published in Boletim da Sociedade Paranaense de Matemática (01-01-2020)“…The purpose of this paper is to study the existence and multiplicity of positive solutions for a mathematical model of thermal explosion which is described by…”
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Correction to: On a PDE Involving the Variable Exponent Operator with Nonlinear Boundary Conditions
Published in Mediterranean journal of mathematics (2018)“…Theorems 2.7 and 2.8 of the original article, together with their relevant proofs, are taken from the paper [ 1 ]. Because of an unintentional oversight, I did…”
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A remark on the uniqueness of positive solutions for some Dirichlet problems
Published in Nonlinear analysis (15-06-2006)“…In this paper we prove the uniqueness of positive weak solutions to the problem - Δ p u = g ( x , u ) , x ∈ Ω , u = 0 , x ∈ ∂ Ω , by a direct argument. Here Ω…”
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On the existence of multiple solutions for a three-point nonlinear boundary value problem of p-Laplacian type
Published in Afrika mathematica (01-03-2020)“…Using variational methods, we establish the existence of at least three solutions for a three-point nonlinear boundary value problem. Our technical approach is…”
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On a Nonlinear System of Reaction-Diffusion Equations
Published in Nonlinear analysis (Vilnius, Lithuania) (27-09-2019)“…The aim of this article is to study the existence of positive weak solution for a quasilinear reaction-diffusion system with Dirichlet boundary conditions, …”
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The Nehari Manifold Approach for a p(x)-Laplacian Problem with Nonlinear Boundary Conditions
Published in Ukrainian mathematical journal (01-06-2017)“…We consider a class of p ( x )-Laplacian equations involving nonnegative weight functions with nonlinear boundary conditions. Our technical approach is based…”
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A variational approach to a quasilinear elliptic problem involving the p -Laplacian and nonlinear boundary condition
Published in Nonlinear analysis (01-10-2009)“…Using the technique of Brown and Wu [K.J. Brown, T.F. Wu, A semilinear elliptic system involving nonlinear boundary condition and sign changing weight…”
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A variational approach to a quasilinear multiparameter elliptic system involving the p-Laplacian and nonlinear boundary condition
Published in Arabian journal of mathematics (01-09-2012)“…We present a note on the paper by Brown and Wu (J Math Anal Appl 337:1326–1336, 2008 ). Indeed, we extend the multiplicity results for a class of semilinear…”
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Existence and multiplicity of non-trivial solutions for fractional Schrödinger–Poisson systems with a combined nonlinearity
Published in Journal of elliptic and parabolic equations (01-06-2024)“…In this paper, we are concerned with the following fractional Schrödinger–Poisson system: ( - Δ ) s u + V ( x ) u + λ ϕ u = K ( x ) | u | q - 2 u + f ( x , u )…”
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On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value
Published in Nonlinear analysis (Vilnius, Lithuania) (01-11-2006)“…This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote…”
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Solutions of a Schrödinger–Kirchhoff–Poisson system with concave–convex nonlinearities
Published in Journal of elliptic and parabolic equations (01-12-2023)“…We consider the following nonlinear Schrödinger–Kirchhoff–Poisson system: - ( a + b ∫ R 3 | ∇ u | 2 ) Δ u + ϕ u = μ g ( x , u ) + λ f ( x , u ) , x ∈ R 3 , - Δ…”
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