The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in $$\mathbb {R}^2$$ R 2 with square root and saturable nonlinearities in nonlinear optics-Reference-Cited by-同舟云学术

The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in $$\mathbb {R}^2$$ R 2 with square root and saturable nonlinearities in nonlinear optics

Published:2017-10 Issue:5 Volume:56 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Lin Tai-Chia,Belić Milivoj R.,Petrović Milan S.,Hajaiej Hichem,Chen Goong

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/article/10.1007/s00526-017-1251-4/fulltext.html

Reference25 articles.

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2. Berestycki, H., Lions, P.L.: Nonlinear scalar field equation I. Existence of a ground state. Mech. Anal. 82(4), 313–345 (1983)

3. Berestycki, H., Lions, P.L.: Nonlinear scalar field equation II. Existence of infinitely many solutions. Arch. Rat. Mech. Anal. 82(4), 347–375 (1983)

4. Cazenave, T., Lion, P.L.: Orbital stability of standing waves for some nonlinear Schrödinger equations. Commun. Math. Phys. 85, 549–561 (1982)

5. Chen, G., Ding, Z., Huang, T., Yu, L., Ramakrishna, V., Ward, J.: Application of the virial theorem for improving eigenvalue calculations of multiparticle systems. J. Comput. Appl. Math. 313, 469–485 (2017)

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