Pohozaev identity for p-harmonic equation
This paper demonstrates the Pohozaev identity for p-harmonic equation from which the nonexistence of nontrivial solution for p-harmonic equation with critical growth is obtained.
Function theoretic methods in the complex plane are used to develop simple parametric hodograph formulas that generate sharp boundary equilibria of arbitrary shape. The related method of Gorenflo [Z. Angew. Math. Phys. 16, 279 (1965)] and Merkel (Ph.D. thesis, University of Munich, 1965) is discussed. A numerical technique for the construction of solutions, based on one of the methods, is presented. A study is made of the bifurcations of an equilibrium of general form.