Geodesic
Oscillation criteria for a class of nonlinear partial differential equations
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This paper presents sufficient conditions on the function $$ \sum_{i=1}^{n}{\partial \over \partial x_i} \Phi_{p}({\partial u \over \partial x_i})+B(x,u)=0, \quad \Phi_p(u):=|u|^{p-1}\mathop{\rm sgn} u. \quad p greater than 1 $$ is weakly oscillatory, i.e. has zero outside of every ball in $\mathbb{R}^n$. The main tool is modified Riccati technique developed for Schrodinger operator by Noussair and Swanson [11].
Classification : 35B05
Keywords: oscillation criteria, nonlinear oscillation, unbounded domains 
@article{EJDE_2002__2002__a165,
     author = {Ma\v{r}{\'\i}k, Robert},
     title = {Oscillation criteria for a class of nonlinear partial differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a165/}
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Mařík, Robert. Oscillation criteria for a class of nonlinear partial differential equations. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a165/