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Construction of high‐energy solutions for the supercritical biharmonic Schrödinger equation.
- Source :
-
Mathematical Methods in the Applied Sciences . Feb2019, Vol. 42 Issue 3, p883-891. 9p. - Publication Year :
- 2019
-
Abstract
- We consider the problem Δ2u = V(x)up + ϵ in RN with u,Δu→0 as |x|→ + ∞, where p=N+4N−4, N ≥ 5, V is a positive continuous potential. Our aim is to construct high‐energy solutions for this equation by applying the finite‐dimensional reduction method and the penalization method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 42
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 134021605
- Full Text :
- https://doi.org/10.1002/mma.5390