A Quantitative Comparison Theorem for Nonlinear Equations
β Scribed by Xiaodong Zhu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 170 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
0
with r ) 0 and m ) 1, and show some applications of the theorem to the nonexistence problem of positive solutions of quasilinear equations. Basic models leading to such nonlinear equations are the degenerate Laplace equation and the steady-state porous medium equation.
π SIMILAR VOLUMES
## Abstract Our aim in this paper is to obtain the comparison principles which extend those of Grace and LALLI. The equations. L~n~u(t)Β±f(t, u[g(t)]= 0 are compared with the equations. M~n~u(t)Β±z(t)h([Ο(t)])= 0.
## Abstract Utilizing the quadratic functional criteria and positive functionals, the author develops a comparison theorem for oscillation of partial differential equations. This result parallels a comparison of the oscillation of scalar ordinary differential equations to oscillation of vectorβmatr