Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation
The author considers the generalized Laplace equation \[ {\text{div}}(|\nabla u|^{m-2}\nabla u)+ f(|x|,u)=0,\quad x\in \mathbb R^n. \] He shows that under certain assumptions the solutions to the considered equation must possess an infinite number of zeros. The generalized Pokhozhaev identities are also provided.
scientific article; zbMATH DE number 1512496