SOLUTIONS FOR A NONHOMOGENEOUS NONLINEAR SCHROEDINGER EQUATION WITH DOUBLE POWER NONLINEARITY

M. GHIMENTI; A. M. MICHELETTI

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SOLUTIONS FOR A NONHOMOGENEOUS NONLINEAR SCHROEDINGER EQUATION WITH DOUBLE POWER NONLINEARITY

机译：具有双幂非线性的非齐次非线性Schroedinger方程的解

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We consider the problem -△u+V(x)u=f`(u)+g(x)in R_N, , under the assumption lim_(x-∞)V(x)=0, and with the nonlinear term / with a double power behavior. We prove the existence two solutions when g is sufficiently small and V < 0.

机译：在lim_（x-∞）V（x）= 0的前提下，我们考虑非线性项为/的问题-△u + V（x）u = f`（u）+ g（x）在R_N中，具有双重权力行为。当g足够小且V <0时，我们证明存在两个解。

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《Differential and integral equations》 |2007年第10期|共22页
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M. GHIMENTI; A. M. MICHELETTI;
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1. SOLUTIONS FOR A NONHOMOGENEOUS NONLINEAR SCHROEDINGER EQUATION WITH DOUBLE POWER NONLINEARITY [J] . M. GHIMENTI, A. M. MICHELETTI Differential and integral equations . 2007,第10期

机译：具有双幂非线性的非齐次非线性Schroedinger方程的解
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3. New soliton and periodic solutions of (1 + 2)-dimensional nonlinear Schroedinger equation with dual-power law nonlinearity [J] . Li-Hua Zhang, rnJian-Guo Si Communications in Nonlinear Science and Numerical Simulation . 2010,第10期

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4. Comparison of soliton solutions of the nonlinear Schroedinger equation and the nonlinear amplitude equation [C] . A. Dakova, D. Dakova, L. Kovachev International school on quantum electronics . 2015

机译：非线性Schroedinger方程和非线性振幅方程孤子解的比较。
5. Existence and stability of vortex solutions of certain nonlinear Schroedinger equations. [D] . Kollar, Richard. 2004

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6. Three-Dimensional Structures of the Spatiotemporal Nonlinear Schrödinger Equation with Power-Law Nonlinearity in PT-Symmetric Potentials [O] . Chao-Qing Dai, Yan Wang -1

机译：PT对称势中具有幂律非线性的时空非线性Schrödinger方程的三维结构
7. Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity [O] . Ghimenti, Marco G., Micheletti, Anna Maria 2010

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8. Reduction of Nonlinear Problems to Schroedinger or Heat Equations: Formation of Kepler Orbits, Singular Solutions for Hydrodynamical Equations [R] . Albeverio, S., Blanchard, P., Hoegh-krohn, R. 1984

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SOLUTIONS FOR A NONHOMOGENEOUS NONLINEAR SCHROEDINGER EQUATION WITH DOUBLE POWER NONLINEARITY

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