A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
β Scribed by Thomas Bartsch; Norman Dancer; Zhi-Qiang Wang
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 312 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0944-2669
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π SIMILAR VOLUMES
We define a "renormalized" Morse index, and prove a Bahri-Lions type result for critical points of E(u, v) = β¦ {βu β’ βv -H (x, u, v)} dx; i.e., we establish an a priori bound for critical points with bounded Morse index. Β© 2000 Γditions scientifiques et mΓ©dicales Elsevier SAS RΓSUMΓ. -Nous dΓ©finisso
In this paper, using the fibering method introduced by Pohozaev, we establish an existence of multiple nontrivial positive solutions for a system of nonlinear elliptic equations in R N with lack of compactness studying the properties of Palais-Smale sequence of the energy functional associated with