Generalized Pohozhaev’s identity for radial solutions of <i>p</i>-Laplace equations-Reference-Cited by-同舟云学术

Generalized Pohozhaev’s identity for radial solutions of p-Laplace equations

Published:2022-11-28 Issue:2 Volume:30 Page:263-267
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Korman Philip¹

Affiliation:

1. Department of Mathematical Sciences , University of Cincinnati , Cincinnati , Ohio 45221-0025 , USA

Abstract

Abstract We derive a generalized Pohozhaev’s identity for radial solutions of p-Laplace equations, by using the approach in [P. Korman, Global Solution Curves for Semilinear Elliptic Equations, World Scientific Publishing, Hackensack, 2012], thus extending the work [H. Brézis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 1983, 4, 437–477], where this identity was implicitly used for the Laplace equation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2022-2208/pdf

Reference11 articles.

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5. P. Korman, Global Solution Curves for Semilinear Elliptic Equations, World Scientific Publishing, Hackensack, 2012.