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Zbl 1201.35102
Bonanno, Gabriele; Bisci, Giovanni Molica; O'Regan, Donal
Infinitely many weak solutions for a class of quasilinear elliptic systems. (English)
[J] Math. Comput. Modelling 52, No. 1-2, 152-160 (2010). ISSN 0895-7177

Summary: We deal with the existence of weak solutions for a quasilinear elliptic system. More precisely the existence of an exactly determined open interval of positive parameters for which the system admits infinitely many weak solutions is established. Our proofs are based on variational methods.
MSC 2000:
*35J65 (Nonlinear) BVP for (non)linear elliptic equations
35D30

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

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