Proceedings of the American Mathematical Society · 1997 · 14 citations · 12 references
Natural SciencesMechanical EngineeringComputational MechanicsBoundary ConditionsBoundary-value ProblemsEigenvalue ProblemsExistence TheoryInitial Value ProblemsOperator TheoryElliptic Partial Differential EquationsNonlinear Eigenvalue ProblemsSet-valued Analysis Existence Theorems
For a family of elliptic eigenvalue problems with highly discontinuous nonlinearities, the existence of unbounded continua of positive solutions containing (0,0) is established by using techniques and results from set-valued analysis. Some special cases are then presented and discussed.
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Some global results for nonlinear eigenvalue problems
Paul H. Rabinowitz · Journal of Functional Analysis · 1971 · 1.9K citations