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

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.