Existence of infinitely many solutions for an anisotropic equation using genus theory [PDF]
Mathematical methods in the applied sciences, 2022 Using genus theory, the existence of infinitely many solutions for an anisotropic equation involving the subcritical growth is proved. Also, by using Krasnoselskii genus and Clark's theorem, the existence of k ‐pairs of distinct solutions is proved ...
A. Razani, Giovany M. Figueiredo
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Infinitely many periodic solutions for ordinary p-Laplacian systems [PDF]
Advances in Nonlinear Analysis, 2015 Some existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Tang Chun-Lei
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Ground state solutions and infinitely many solutions for a nonlinear Choquard equation [PDF]
Boundary Value Problems, 2021 In this paper we study the existence and multiplicity of solutions for the following nonlinear Choquard equation: − Δ u + V ( x ) u = [ | x | − μ ∗ | u | p ] | u | p − 2 u , x ∈ R N , $$\begin{aligned} -\Delta u+V(x)u=\bigl[ \vert x \vert ^{-\mu }\ast ...
Tianfang Wang, Wen Zhang
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On a fractional differential equation with infinitely many solutions [PDF]
, 2012 We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, where $\alpha\in(0,1)$ and $g(0)=0$, that leads to the existence of an infinity of solutions starting from $x(0)=0$. The operator $x^{(\alpha)}$
Dumitru Bǎleanu +2 more
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Infinitely many solutions for $2k$-th order BVP with parameters
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper we consider a special case of BVP for higher-order ODE, where, the linear part consists of only even-order derivatives and depends on a set of real parameters. Among many questions related to this problem we are especially interested in the
Mariusz Jurkiewicz
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Infinitely many solutions for a fourth-order boundary-value problem
Electronic Journal of Differential Equations, 2012 In this article we consider the existence of infinitely many solutions to the fourth-order boundary-value problem $$displaylines{ u^{iv}+alpha u''+eta(x) u=lambda f(x,u)+h(u),quad xin]0,1[cr u(0)=u(1)=0,cr u''(0)=u''(1)=0,.
Seyyed Mohsen Khalkhali +2 more
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Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities [PDF]
Calculus of Variations and Partial Differential Equations, 2022 In this paper, we study a class of critical Choquard equations with axisymmetric potentials, -Δu+V(|x′|,x′′)u=(|x|-4∗|u|2)uinR6,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{
Fashun Gao +3 more
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A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters
Boundary Value Problems, 2022 By exploiting an abstract critical-point result for differentiable and parametric functionals, we show the existence of infinitely many weak solutions for nonlinear elliptic equations with nonhomogeneous boundary conditions. More accurately, we determine
Armin Hadjian, Juan J. Nieto
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Infinitely many solutions of degenerate quasilinear Schrödinger equation with general potentials
Boundary Value Problems, 2021 In this paper, we study the following quasilinear Schrödinger equation: − div ( a ( x , ∇ u ) ) + V ( x ) | x | − α p ∗ | u | p − 2 u = K ( x ) | x | − α p ∗ f ( x , u ) in R N , $$ -\operatorname{div}\bigl(a(x,\nabla u)\bigr)+V(x) \vert x \vert ...
Yan Meng, Xianjiu Huang, Jianhua Chen
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Infinitely Many Solutions for Perturbed Hemivariational Inequalities
Boundary Value Problems, 2010 We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the -Laplacian. We show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the ...
Giuseppina D'Aguì +1 more
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