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Positive Radially Symmetric Entire Solutions of p - k -Hessian Equations and Systems

Author

Listed:
  • Wei Fan

    (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China)

  • Limei Dai

    (School of Mathematics and Information Science, Weifang University, Weifang 261061, China)

  • Bo Wang

    (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China)

Abstract

In this paper, we discuss the existence of positive radially symmetric entire solutions of the p - k -Hessian equation σ k 1 k λ D i | D u | p − 2 D j u = α 1 k ( | x | ) f ( u ) , and the general p - k -Hessian system σ k 1 k λ D i | D u | p − 2 D j u = α 1 k ( | x | ) f 1 ( v ) f 2 ( u ) , σ k 1 k λ D i | D v | p − 2 D j v = β 1 k ( | x | ) g 1 ( u ) g 2 ( v ) .

Suggested Citation

  • Wei Fan & Limei Dai & Bo Wang, 2022. "Positive Radially Symmetric Entire Solutions of p - k -Hessian Equations and Systems," Mathematics, MDPI, vol. 10(18), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3258-:d:909421
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