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Generic solutions of equations involving the modular <i>j</i> function. [PDF]

Math Ann
Eterović S.
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On the Infinitely Many Solutions of a Semilinear Elliptic Equation

SIAM Journal on Mathematical Analysis, 1986
A dynamical systems approach is developed for studying the spherically symmetric solutions of $\Delta u + f(u) = 0$, where $f(u)$ grows like $| u |^\sigma u$ as $| u | \to \infty $ . Various scalings are introduced to elucidate the singular behavior near the center and at infinity. The solutions of interest appear as trajectories in a three-dimensional
Alfred Küpper, Christopher K. R. T. Jones   +1 more
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Infinitely many solutions for perturbed difference equations

Journal of Difference Equations and Applications, 2014
Using 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, Shapour Heidarkhani, Mohsen Khaleghi Moghadam   +2 more
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Infinitely many positive solutions for a nonlocal problem

Applied Mathematics Letters, 2018
Abstract 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, Guangze Gu, Fukun Zhao, Wei Zhang   +3 more
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Infinitely Many Solutions of Nonlinear Elliptic Systems

1999
In 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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Infinitely many solutions for a -Laplacian equation in

Nonlinear Analysis: Theory, Methods & Applications, 2009
Abstract 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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Infinitely many solutions of a symmetric Dirichlet problem

Nonlinear Analysis: Theory, Methods & Applications, 1993
Here Q is a bounded domain in [R” with smooth boundary and F: I?“’ + R is C’ and satisfies certain growth conditions. If m = 1 and F is an even function, hence, F,: R + R is an odd function, then Ambrosetti and Rabinowitz [l, 21, proved the existence of infinitely many (weak) solutions of (D) using a symmetric version of the mountain pass theorem.
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Solution to a Problem of Infinitely Many Time Conversions

SSRN Electronic Journal, 2006
This 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 a double Sturm–Liouville problem

Journal of Global Optimization, 2011
In this paper, we prove the existence of infinitely many solutions to differential problems where both the equation and the conditions are Sturm---Liouville type. The approach is based on critical point theory.
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