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

TL;DR

This paper extends Pohozhaev's identity to radial solutions of p-Laplace equations, broadening its applicability beyond the classical Laplace case by employing a generalized approach.

Contribution

The authors derive a generalized Pohozhaev's identity for p-Laplace equations, extending previous work from the Laplace to the p-Laplace setting.

Findings

Derived a generalized Pohozhaev's identity for p-Laplace equations.

Extended classical identities to nonlinear p-Laplace equations.

Provided a new tool for analyzing radial solutions of p-Laplace equations.

Abstract

We derive a generalized Pohozhaev's identity for radial solutions of $p$-Laplace equations, by using the approach in [5], thus extending the work of H. Br\'{e}zis and L. Nirenberg [2], where this identity was implicitly used for the Laplace equation.