Document Zbl 1059.35507

A nonlinear undecoupling elliptic system at resonance. (English) Zbl 1059.35507

Russ. J. Math. Phys. 6, No. 3, 353-362 (1999).

Summary: In this paper we consider undecoupling elliptic systems with zero Dirichlet condition. We use a Lyapunov-Schmidt approach and find two classes of resonance; applications to biharmonic equations are given.

Cited in 1 Document

MSC:

35J60	Nonlinear elliptic equations
35B34	Resonance in context of PDEs
35J55	Systems of elliptic equations, boundary value problems (MSC2000)
35J65	Nonlinear boundary value problems for linear elliptic equations

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A nonlinear undecoupling elliptic system at resonance. (English) Zbl 1059.35507

MSC: