Qualitative Study of a Class of Nonlinear Boundary Value Problems at Resonance
نویسنده
چکیده
where N is a nonlinear operator over a real Hilbert space S and E is a linear differential operator over a bounded domain G of R" with homogeneous boundary conditions and possessing a finite-dimensional kernel. The particular case when NU = g(u) +f has been the subject of much study in recent years and sufficient conditions in terms of g(co), g(-co) and f, patterned after the results of [8], have been discussed by several authors. In these studies a key hypothesis is that
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