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Zbl 1225.35067
Bonanno, Gabriele; Bisci, Giovanni Molica
Three weak solutions for elliptic Dirichlet problems. (English)
[J] J. Math. Anal. Appl. 382, No. 1, 1-8 (2011). ISSN 0022-247X

An existence result of three non-zero solutions for non-autonomous elliptic Dirichlet problems, under suitable assumptions on the nonlinear term, is presented. The approach is based on a recent three critical points theorem for differentiable functionals.
[Daniel Pasca (Oradea)]
MSC 2000:
*35J15 Second order elliptic equations, general
35J20 Second order elliptic equations, variational methods
35J50 Systems of elliptic equations, variational methods

Keywords: critical points; variational methods; Dirichlet problem; three solutions

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