Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations
We consider the problem −div(|∇u|p−2∇u)=a(x)(um+λun), x∈â„ÂN, N≥3, where 0<m<p−1<n,a(x)≥0, a(x) is not identically zero. Under the condition that a(x) satisfies (H), we show that there exists λ0>0 such that the above-mentioned equation...
Main Authors: | Zuodong Yang, Bing Xu |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2007-01-01
|
Series: | Boundary Value Problems |
Online Access: | http://dx.doi.org/10.1155/2007/16407 |
Similar Items
-
Existence of entire radial solutions to a class of quasilinear elliptic equations and systems
by: Song Zhou
Published: (2016-06-01) -
Asymptotic behavior and uniqueness of entire large solutions to a quasilinear elliptic equation
by: Haitao Wan
Published: (2017-05-01) -
On nonnegative radial entire solutions of second order quasilinear elliptic systems
by: T. Teramoto
Published: (2002-01-01) -
Infinitely many nodal solutions for a class of quasilinear elliptic equations
by: Xiaolong Yang
Published: (2021-04-01) -
Uniqueness of entire solutions to quasilinear equations of p-Laplace type
by: Nguyen Cong Phuc, et al.
Published: (2023-09-01)