Results 31 to 40 of about 807 (97)
Positivity of the infimum eigenvalue for equations of p(x)-Laplace type in RN
Boundary Value Problems, 2013 We study the following elliptic equations with variable exponents −div(ϕ(x,|∇u|)∇u)=λf(x,u)in RN. Under suitable conditions on ϕ and f, we show the existence of positivity of the infimum of all eigenvalues for the problem above, and then give an ...
I. Kim, Yun-Ho Kim
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Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type
Boundary Value Problems, 2014 We are concerned with the following nonlinear problem −div(ϕ(x,|∇u|)∇u)=μ|u|p(x)−2u+f(λ,x,u,∇u)in Ω subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the p(x)-Laplacian.
Yun-Ho Kim
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Nonautonomous Dynamical Systems, 2020 The aim of this paper is to establish the existence of at least three weak solutions for the following elliptic Neumann problem {-Δp→(x)u+α(x)|u|p0(x)-2u=λf(x,u)inΩ,∑i=1N|∂u∂xi|pi(x)-2∂u∂xiγi=0on∂Ω,\left\{ {\matrix{ { - {\Delta _{\vec p\left( x \right)}}
Ahmed Ahmed +1 more
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Least energy sign-changing solutions for a nonlocal anisotropic Kirchhoff type equation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we investigate the existence of sign-changing solutions for the following class of fractional Kirchhoff type equations with potential (1+b[u]α2)((-Δx)αu-Δyu)+V(x,y)u=f(x,y,u),(x,y)∈ℝN=ℝn×ℝm,\left( {1 + b\left[ u \right]_\alpha ^2} \right ...
Rahmani Mohammed +3 more
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ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS
, 2018 The analysis of Urysohn-Stieltjes integral operators has been studied in [1]. Here we study the existence of weakly solution of functional integral equations of Urysohn-Stieltjes type and Hammerstien-Stieltjes type in the reflexive Banach space E.
A. El-Sayed, M. M. Al-Fadel
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Advances in Nonlinear Analysis, 2020 We study a phase field model proposed recently in the context of tumour growth. The model couples a Cahn–Hilliard–Brinkman (CHB) system with an elliptic reaction-diffusion equation for a nutrient.
Ebenbeck Matthias, Lam Kei Fong
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MULTIPLE SOLUTIONS FOR A CLASS OF (P1(X), P2(X))-LAPLACIAN PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS
, 2019 In this paper, we study the existence of solutions for a class of nonlinear Neumann problems with variable exponents of the form −div ( (|∇u|p1(x)−2 + |∇u|p2(x)−2)∇u ) + |u|pmax(x)−2u = λf(x, u) + μg(x, u) in Ω, ∂u ∂ν = 0 on ∂Ω, where Ω ⊂ RN , N ≥ 3
N. T. Chung
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Boundary Value Problems, 2014 In this paper, we deal with the boundary value problems without initial condition for Schrödinger systems in cylinders. We establish several results on the regularity of the solutions.MSC: 35Q41, 35B65, 35D30.
Nguyen Thi Lien, N. M. Hung
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Weak solutions for generalized p-Laplacian systems via Young measures
Moroccan Journal of Pure and Applied Analysis, 2018 We prove the existence of weak solutions to a generalized p-Laplacian systems in degenerate form. The techniques of Young measure for elliptic systems are used to prove the existence result.
Azroul Elhoussine, Balaadich Farah
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, 2018 This paper presents several sufficient conditions for the existence of at least three weak solutions for the following Neumann problem, originated from a capillary phenomena, −div (( 1 + |∇u| p(x) √ 1+|∇u|2p(x) ) |∇u|p(x)−2∇u ) + a(x)|u|p(x)−2u ...
S. Heidarkhani +3 more
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