Multiplicity Results for the Supercritical Hénon Equation-Reference-Cited by-同舟云学术

Multiplicity Results for the Supercritical Hénon Equation

Published:2004-11-01 Issue:4 Volume:4 Page:453-467
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Badiale Marino¹,Serra Enrico²

Affiliation:

1. Dipartimento di Matematica Università di Torino Via Carlo Alberto 10, 10123 Torino, Italy

2. Dipartimento di Matematica Università di Milano Via Saldini 50, 20133 Milano, Italy

Abstract

Abstract We study the Dirichlet problem for the Hénon equation ¡Δu = |x|αup-1 in the unit ball B ⊂ RN. For N ≥ 4 and α large we prove the existence of positive nonradial solutions for a range of p's including supercritical values.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2004-0406/pdf

Reference3 articles.

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2. The asymptotic behaviour of the ground state solutions for He non equation;Cao;Math Anal Appl,2003

3. A Nonlinear Dirichlet problem on the unit ball and its applications Indiana Univ;Ni;Math Jour,1982

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