Abstract
The purpose of this paper is to discuss non-linear boundary value problems for elliptic systems of the typewhere Ak is a second order uniformly elliptic operator and is such that the problemhas a one-dimensional space of solutions that is generated by a non-negative function. The boundary ∂G is supposed to be smooth and the functions gk, 1≦k≦m are defined on Ḡ×Rm and are continuously differentiate (usually, Bk represents Dirichlet or Neumann conditions and is the first eigenvalue associated with Ak and such boundary conditions).
Publisher
Cambridge University Press (CUP)
Reference14 articles.
1. Nonlinear perturbations of linear elliptic boundary value problems at resonance;Landesman;J. Math. Mech.,1970
2. On the Embedding of C1(Ω¯) in C0,α(Ω¯)
3. Topological degree methods in nonlinear boundary value problems;Mawhin;Amer. Math. Soc. Reg. Conf. in Math.,1979
4. Perturbations of second order linear elliptic problems by nonlinearities without landesman-lazer condition
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献