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

Wei Fan, Limei Dai () and Bo Wang ()
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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

Mathematics, 2022, vol. 10, issue 18, 1-15

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 ) .

Keywords: p - k -Hessian equations; general p - k -Hessian systems; existence; entire solutions; radially symmetric solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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