Hostname: page-component-745bb68f8f-5r2nc Total loading time: 0 Render date: 2025-01-14T10:01:43.236Z Has data issue: false hasContentIssue false
  • English
  • Français

Multiple solutions for some quasilinear Neumann problems in exterior domains

Published online by Cambridge University Press:  18 September 2007

Tsing-San Hsu
Tsing-San Hsu
Affiliation:
Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, Republic of China ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, we show that if $K(x)$ satisfies suitable conditions, then the quasilinear Neumann problem $-\Delta_pu+|u|^{p-2}u=K(x)|u|^{q-2}u$ in an exterior domain $\varOmega$ has at least two solutions, of which one is a positive ground-state solution and one is a nodal solution.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 5 , October 2007 , pp. 1059 - 1071
Copyright
2007 Royal Society of Edinburgh

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)