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Existence of Entire Solutions of an Elliptic Equation on ℝN

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Book cover Functional Analysis in China

Part of the book series: Mathematics and Its Applications ((MAIA,volume 356))

Abstract

Let us consider the following semilinear elliptic partial differential equation on ℝN:

$$ \left\{ {\begin{array}{*{20}c} { - \Delta u + q(x)u = g(x,u)} \hfill \\ {u \in W^{1,2} (\mathbb{R}^N ),} \hfill \\ \end{array} } \right. $$
(E)

where q ∈ C(ℝN and g ∈ (ℝN×ℝ).

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, Beijing, China

    Yanheng Ding & Shujie Li

Authors
  1. Yanheng Ding
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  2. Shujie Li
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Editor information

Editors and Affiliations

  1. Institute of Mathematics, Academia Sinica, Beijing, China

    Bingren Li

  2. Department of Mathematics, Nanjing University, Nanjing, China

    Shengwang Wang

  3. Department of Mathematics, Fudan University, Shanghai, China

    Shaozong Yan

  4. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    Chung-Chun Yang

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© 1996 Kluwer Academic Publishers

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Ding, Y., Li, S. (1996). Existence of Entire Solutions of an Elliptic Equation on ℝN . In: Li, B., Wang, S., Yan, S., Yang, CC. (eds) Functional Analysis in China. Mathematics and Its Applications, vol 356. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0185-8_24

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  • DOI: https://doi.org/10.1007/978-94-009-0185-8_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6567-2

  • Online ISBN: 978-94-009-0185-8

  • eBook Packages: Springer Book Archive

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