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Solutions of a Nonlinear Schrödinger Equation

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Djairo G. de Figueiredo - Selected Papers

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Abstract

This paper deals with existence and multiplicity of solutions to the nonlinear Schrödinger equation of the type

$$ - \Updelta u + (\lambda a(x) + a_{0} (x))u = f(x,\,u),\quad u\; \in \;H^{1} ({\mathbb{R}}^{N} ). $$

We improve some previous results in two respects: we do not require a 0 to be positive on one hand, and allow f(x, u) to be critical nonlinear on the other hand.

Ding was supported by the Special Funds for Major State Basic Research Projects and the State Education Commission of China under G20000773 and J9904, and the National Research Council of Brazil.

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Author information

Authors and Affiliations

  1. Dipartmento de Matematica, IMECC-UNICAMP, 13081-970, Campinas, SP, Brazil

    D. G. de Figueiredo

  2. Institute of Mathematics, AMSS, Chinese Academy of Sciences, 100080, Beijing, People’s Republic of China

    Y. H. Ding

Authors
  1. D. G. de Figueiredo
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  2. Y. H. Ding
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Corresponding author

Correspondence to D. G. de Figueiredo .

Editor information

Editors and Affiliations

  1. University of Nevada Las Vegas Dept. Mathematical Sciences, Las Vegas, Nevada, USA

    David G. Costa

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© 2002 American Institute of Mathematical Sciences

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de Figueiredo, D.G., Ding, Y.H. (2002). Solutions of a Nonlinear Schrödinger Equation. In: Costa, D. (eds) Djairo G. de Figueiredo - Selected Papers. Springer, Cham. https://doi.org/10.1007/978-3-319-02856-9_34

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