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Zbl 0920.35050
Arioli, Gianni; Gazzola, Filippo
Weak solutions of quasilinear elliptic PDE's at resonance. (English)
[J] Ann. Fac. Sci. Toulouse, VI. Sér., Math. 6, No.4, 573-589 (1997). ISSN 0240-2963

The authors study a class of variational quasilinear elliptic PDE's with resonance at infinity. The proof of their existence results are based on a new generalization to continuous functionals of the saddle point theorem and of a multiplicity result. The paper is self-contained because the basic definitions and tools are introduced and the present results are compared to ones given in the literature earlier.
[István Gy\H{o}ri (Veszprém)]

MSC 2000:: *35J60 Nonlinear elliptic equations
35J20 Second order elliptic equations, variational methods

Keywords: resonance at infinity; existence

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