Communications in Partial Differential Equations · 1992 · 283 citations · 13 references
Natural SciencesProperty LawFinite Element MethodsBoundary ConditionsBoundary-value ProblemsPartial Differential EquationsDirichlet Boundary ConditionsDirichlet ProblemsElliptic Boundary-value ProblemsNonlinear Boundary-value ProblemsParabolic Boundary-value Problems
we investigata th existence of positive solutions of a Dirichlet problem for the system in a bounded convex domain Ω of Rn with smooth boundary. In particular a priori bounds are obtained in the same spirit as in De Figueiredo – Lions – Nussbaum.
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Bifurcation from simple eigenvalues
Michael G. Crandall, Paul H. Rabinowitz · Journal of Functional Analysis · 1971 · 2.1K citations
Some global results for nonlinear eigenvalue problems
Paul H. Rabinowitz · Journal of Functional Analysis · 1971 · 1.9K citations