Ground state solutions for quasilinear scalar field equations arising in nonlinear optics-Reference-Cited by-同舟云学术

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Ground state solutions for quasilinear scalar field equations arising in nonlinear optics

Published:2021-03-22 Issue:3 Volume:28 Page:
ISSN:1021-9722
Container-title:Nonlinear Differential Equations and Applications NoDEA
language:en
Short-container-title:Nonlinear Differ. Equ. Appl.

Author:

Pomponio Alessio,Watanabe Tatsuya^ORCID

Funder

Progetti di Rilevante Interesse Nazionale

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00030-021-00687-7.pdf

Reference36 articles.

1. Adachi, S., Watanabe, T.: Uniqueness of the ground state solutions of quasilinear Schrödinger equations. Nonlinear Anal. 75, 819–833 (2012)

2. Azzollini, A., d’Avenia, P., Pomponio, A.: Quasilinear elliptic equations in $${\mathbb{R}^N}$$ via variational methods and Orlicz–Sobolev embeddings. Calc. Var. 49, 197–213 (2014)

3. Azzollini, A., Pomponio, A.: On the Schrödinger equation in $$R^N$$ under the effect of a general nonlinear term. Indiana Univ. Math. J. 58, 1361–1378 (2009)

4. Berestycki, H., Lions, P.L.: Nonlinear scalar fields equations. I. Existence of a ground state. Arch. Rat. Mech. Anal. 82, 313–345 (1983)

5. Brezis, H., Lieb, E.: A relation between pointwise convergence of functions and convergence of functionals. Proc. Am. Math. Soc. 88, 486–490 (1983)

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2. Infinitely many nodal solutions for a class of quasilinear elliptic equations;Electronic Journal of Qualitative Theory of Differential Equations;2021

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