Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent

Author:

Abatangelo Laura,Terracini Susanna

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Reference28 articles.

1. L. Abatangelo and S. Terracini, A note on the complete rotational invariance of biradial solutions to semilinear elliptic equations. Preprint, 2009.

2. Arioli G., Szulkin A.: A semilinear Schrödinger equation in the presence of a magnetic field. Arch. Ration. Mech. Anal. 170, 277–295 (2003)

3. Bartsch T., Dancer E.N., Peng S.: On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields. Adv. Differential Equations 11, 781–812 (2006)

4. Bahri A., Li Y.Y.: On a min-max procedure for the existence of positive solutions for certain scalar field equations in $${\mathbb{R}^N}$$ . Rev. Mat. Iberoamericana 6, 1–15 (1990)

5. Bourgain J., Brezis H.: New estimates for elliptic equations and Hodge type systems. J. Eur. Math. Soc. (JEMS) 9(2), 277–315 (2007)

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