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Zbl 0962.34019
Ho, Lop Fat
Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation. (English)
[J] Nonlinear Anal., Theory Methods Appl. 41, No. 5-6, A, 573-589 (2000). ISSN 0362-546X

The author considers the generalized Laplace equation $$ {\text{div}}(|\nabla u|^{m-2}\nabla u)+ f(|x|,u)=0,\quad x\in \Bbb R^n. $$ 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.
[Jozef Dzurina (Kosice)]

MSC 2000:: *34B30 Special ODE
35H30 Quasi-elliptic equations
35J60 Nonlinear elliptic equations

Keywords: quasilinear elliptic equation; Pokhozhaev identity

Cited in: Zbl 1154.35355

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