Proves the first eigenvalue of de Thélín's quasilinear system is simple and isolated, variationally characterizes a sequence of eigenvalues, and establishes existence of resonant weak solutions under new Landesman-Lazer conditions.
Bonnet, A deformation lemma on aC 1 manifold, Manuscripta Math.81(1993), no
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On the de Th\'elin eigenvalue problem and Landesman-Lazer conditions for quasilinear systems
Proves the first eigenvalue of de Thélín's quasilinear system is simple and isolated, variationally characterizes a sequence of eigenvalues, and establishes existence of resonant weak solutions under new Landesman-Lazer conditions.