Results 11 to 20 of about 76 (60)

Infinitely-many solutions for subquadratic fractional Hamiltonian systems with potential changing sign

open access: yesAdvances in Nonlinear Analysis, 2015
In this paper we are concerned with the existence of infinitely-many solutions for fractional Hamiltonian systems of the form tD∞α(-∞Dtαu(t))+L(t)u(t)=∇W(t,u(t))${\,}_tD^{\alpha }_{\infty }(_{-\infty }D^{\alpha }_{t}u(t))+L(t)u(t)=\nabla W(t,u(t ...
Zhang Ziheng, Yuan Rong
doaj   +1 more source

Solvability of Parametric Elliptic Systems with Variable Exponents

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass   +1 more
doaj   +1 more source

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

open access: yes, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
A. Guiro, Ismael Nyanquini, S. Ouaro
semanticscholar   +1 more source

Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent

open access: yesNonautonomous Dynamical Systems, 2020
We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa   +3 more
doaj   +1 more source

Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well

open access: yesAdvanced Nonlinear Studies, 2022
In this article, we investigate the existence of least energy sign-changing solutions for the following Schrödinger-Poisson system −Δu+V(x)u+K(x)ϕu=f(u),x∈R3,−Δϕ=K(x)u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u+K\left(x)\phi u=f\left(u),\hspace{1.
Chen Xiao-Ping, Tang Chun-Lei
doaj   +1 more source

MULTIPLICITY OF SOLUTIONS TO DISCRETE INCLUSIONS WITH THE p(k)-LAPLACE KIRCHHOFF TYPE EQUATIONS

open access: yes, 2018
. This paper is concerned with the existence and multiplicity of solutions to discrete inclusions with an anisotropic discrete boundary value problem of p(k)-Laplace Kirchhoff type. Our technical approach is based on variational methods. 2010 Mathematics
S. Ouaro, Malick Zoungrana
semanticscholar   +1 more source

Weak homoclinic solutions of anisotropic difference equation with variable exponents

open access: yesAdvances in Differential Equations, 2012
In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality. MSC:47A75, 35B38, 35P30, 34L05, 34L30.
A. Guiro, B. Kone, S. Ouaro
semanticscholar   +1 more source

Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents

open access: yes, 2017
In this paper, we prove the existence of weak homoclinic solutions for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a minimization method. As extension, we prove the existence result of weak homoclinic solutions
A. Guiro, I. Ibrango, S. Ouaro
semanticscholar   +1 more source

Multiple blowing-up and concentrating solutions for Liouville-type equations with singular sources under mixed boundary conditions

open access: yesBoundary Value Problems, 2012
In this article, we mainly construct multiple blowing-up and concentrating solutions for a class of Liouville-type equations under mixed boundary conditions: -Δv=ε2ev-4π∑i=1Nαiδpi,inΩ,ε(1-t)∂v∂ν+tb(x)v=0,on∂Ω, for ε small, where t∈(0,1],N∈ℕ∪{0},{α1,α2 ...
Yibin Chang, Hai-tao Yang
semanticscholar   +1 more source

On a class of nonlocal nonlinear Schrödinger equations with potential well

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
doaj   +1 more source

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