Results 1 to 10 of about 91,052 (310)
Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups
We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of the nonlinear equations.
Alexander Breev +2 more
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On the existence of multipeak solutions for nonlinear field equations on $R^N$
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Dancer, E. N., Yan, Shusen
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Nonautonomous Nonlinear Scalar Field Equations in R2
The authors get one positive and infinitely many radially symmetric solutions for a class of nonautonomous nonlinear scalar field equations in \(\mathbb{R}^ 2\). They use the Mountain Pass Lemma and the known method to approximate equations with strong nonlinear terms.
Li, C.M., Li, Y.Y.
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An estimation from within of the reachable set of nonlinear R. Brockett integrator with small nonlinearity [PDF]
In this paper, the nonlinear R. Brockett integrator with small nonlinear addition to the right-hand side of the corresponding differential equations is considered. More precisely, investigating the possibility to estimate from within the corresponding
Moussa Aboubacar +1 more
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The low-frequency ion drift mode is investigated in a warm electron-ion plasma by incorporating adiabatic trapping of generalized (r, q) distributed electrons. The gradients in background density and magnetic field are taken into account.
S. Hassan +6 more
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A supersolution-subsolution method for nonlinear biharmonic equations in $$\mathbb{R}^N $$ [PDF]
This paper provides a refined version of the supersolution-subsolution method which applies to the nonlinear biharmonic equation \[ \Delta ({| \Delta u| }^{p-2} \Delta u) = f(x,u), \qquad x \in \mathbb R^N \] where \(p>1\), \(N \geq 3\) and \(f\in C^{\alpha }_{\text{loc}} (\mathbb R^N \times \mathbb R_+)\) for some \(\alpha \in (0,1)\), \(\mathbb R_+ =
Furusho, Yasuhiro, Takaŝi, Kusano
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The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
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On a fractional nonlinear equation on a bounded domain of $\mathbb R^n$
We establish perturbation results for a Nirenberg type equation involving the fractional Laplacian on a bounded domain of \mathbb R^n, n \geq 2 . Our method is based on the critical points at infinity theory of [6].
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A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations
In this paper , an efficient new procedure is proposed to modify third –order iterative method obtained by Rostom and Fuad [Saeed. R. K. and Khthr. F.W. New third –order iterative method for solving nonlinear equations. J. Appl. Sci .7(2011): 916-921] ,
Baghdad Science Journal
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On 2D Nonlinear Schrödinger Equations with Data on R×T
AbstractWe prove L2 global well-posedness results for 2D (subcritical and critical) nonlinear Schrödinger equations with data on R×T. We use methods of the periodic case due to J. Bourgain. The main ingredient in the proof is the L4−L2 Strichartz inequality for the free evolution which fails in the purely periodic setting.
Takaoka, H, Tzvetkov, N
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