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Infinitely many solutions for perturbed difference equations
Journal of Difference Equations and Applications, 2014Using variational methods and critical point theory, the existence of infinitely many solutions for perturbed nonlinear difference equations with discrete Dirichlet boundary conditions is ensured.
Johnny Henderson +2 more
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Infinitely many positive solutions for a nonlocal problem
Applied Mathematics Letters, 2018Abstract In this paper, we obtain infinitely many small positive solutions of the following nonlocal problem − L K u = f ( x , u ) in Ω , u = 0 in R N ∖ Ω , where Ω ⊂ R N is a bounded domain with Lipschitz boundary ∂ Ω , and L K is an ...
Guangze Gu +3 more
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Infinitely Many Solutions of Nonlinear Elliptic Systems
1999In this paper we study elliptic systems of the form $$ \left\{ {_{\Delta _v = H_{u(x,u,v)in\Omega } }^{ - \Delta _u = H_v (x,u,v)in\Omega } } \right. $$ (1.1) where Ω ⊂ ℝ N , N > 3, is a smooth bounded domain and H: Ω ℝ ℝ → ℝ C 1-function. We shall also consider the case when Ω = ℝ N and in this case the system takes the form $$ \left ...
Thomas Bartsch, Djairo G. de Figueiredo
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On the infinitely many positive solutions of a supercritical elliptic problem
Nonlinear Analysis: Theory, Methods & Applications, 2001A nonlinear elliptic problem in the unit ball in \(\mathbb{R}^N\) is considered. By using the known result that any classical solution of this problem is radially symmetric, the problem turns into an ordinary differential one. Some information about the solution \(v\) of the above problem are obtained by considering another equation, with the solution \
Zhao Peihao, Zhong Cheng-kui
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Infinitely many solutions for a resonant sublinear Schrödinger equation
Mathematical Methods in the Applied Sciences, 2013In this paper, we consider a nonlinear sublinear Schrödinger equation at resonance in . By using bounded domain approximation technique, we prove that the problem has infinitely many solutions. Copyright © 2013 John Wiley & Sons, Ltd.
Zhiqing Han, Gui Bao
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Existence of infinitely many weak solutions for a Neumann problem
Nonlinear Analysis: Theory, Methods & Applications, 2004The paper is concerned with the Neumann problem \[ -\Delta_p u= \mu f(x,u)+h(x,u), \quad \text{in } \Omega, \] \[ \partial u/\partial\nu=0 \quad \text{on } \partial\Omega, \] on a bounded \(C^1\)-domain \(\Omega\subset\mathbb R^N\). Here \(\Delta_p\) is the \(p\)-Laplace operator, \(p>1\), \(\mu\) is a parameter, and \(f,h:\Omega\times\mathbb R\to ...
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Infinitely many solutions for a -Laplacian equation in
Nonlinear Analysis: Theory, Methods & Applications, 2009Abstract This paper deals with a p ( x ) -Laplacian equation in R N . By means of a direct variational approach and the theory of the variable exponent Sobolev spaces, we establish the existence of infinitely many distinct homoclinic radially symmetric solutions whose W 1 , p ( x ) ( R N ) -norms ...
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Solution to a Problem of Infinitely Many Time Conversions
SSRN Electronic Journal, 2006This paper considers an investment decision problem in continuous-time frame work, in which a firm can switch between a risky investment and a riskless investment. In this paper, I proposes a method to derive a closed-form solution to this (S, s) control problem.
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Infinitely many solutions for double hamonic perturbed problem
Applied Mathematics and Mechanics, 1995The author proves the existence of infinitely many nontrivial solutions of the problem \[ \Delta^2 u- a\Delta u+ bu= g(x, u)+ f(x, u)\text{ in }\Omega,\;u= \partial u/\partial n= 0\text{ on }\partial\Omega, \] under several growth conditions on \(g\) and \(f\), for \(a\geq 0\), \(b\geq 0\).
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Infinitely Many Solutions to a Class of p-Laplace Equations
Acta Mathematicae Applicatae Sinica, English Series, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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