Ground state solutions for asymptotically periodic Schrodinger equations with indefinite linear part

Zhang Hui; Xu Junxiang; Zhang Fubao

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Ground state solutions for asymptotically periodic Schrodinger equations with indefinite linear part

机译：线性不定部分渐近周期薛定inger方程的基态解

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Using the method of the Nehari manifold, we study the existence of ground state solutions for asymptotically periodic Schrodinger equations with indefinite linear part and superlinear nonlinearity. Copyright (c) 2014 John Wiley & Sons, Ltd.

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《Mathematical Methods in the Applied Sciences》 |2015年第1期|共10页
作者
Zhang Hui; Xu Junxiang; Zhang Fubao;
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正文语种 eng
中图分类数学;
关键词
strongly indefinite functional; generalized Nehari manifold; asymptotically periodic Schrodinger equation; ground state solution;

机译：强不定泛函;广义Nehari流形;渐近周期薛定;方程;基态解;

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1. Ground state solutions for asymptotically periodic Schrodinger equations with indefinite linear part [J] . Zhang Hui, Xu Junxiang, Zhang Fubao Mathematical Methods in the Applied Sciences . 2015,第1期

机译：线性不定部分渐近周期薛定inger方程的基态解
2. GROUND STATE SOLUTIONS FOR ASYMPTOTICALLY PERIODIC QUASILINEAR SCHRODINGER EQUATIONS WITH CRITICAL GROWTH [J] . Xue Yanfang, Tang Chunlei Communications on pure and applied analysis . 2018,第3期

机译：具有临界生长的渐近周期性拟线性施罗德格方程的地态解决方案
3. Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms [J] . Ding YH, Lee C Journal of Differential Equations . 2006,第1期

机译：具有无限线性部件和超级或渐近线性术语的Schrodinger方程的多种解决方案
4. Almost periodic and asymptotically almost periodic mild solutions for nonlinear abstract functional differential equations with infinite delay [C] . Peng Xiao, Yanfei Du 2011 International Conference on Multimedia Technology . 2011

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5. Caustics and the indefinite signature Schrodinger equation: Linear and nonlinear. [D] . Dodson, Benjamin. 2009

机译：焦散和不确定的薛定inger方程：线性和非线性。
6. ASYMPTOTIC BEHAVIOR AND PERIODIC SOLUTIONS OF A NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATION [O] . G. Stephen Jones 1961

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7. Ground state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growth [O] . Yanfang Xue, Chunlei Tang 2018

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8. Multiple Periodic Solutions for an Asymptotically Linear Wave Equation [R] . Chang, K. C., Wu, S. P., Li, S. 1981

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Ground state solutions for asymptotically periodic Schrodinger equations with indefinite linear part

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