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- W2169171491 abstract "Dedicated to Louis Nirenberg on his 80-th birthday Abstract. We consider positive solutions of the Dirichlet problem depending on a positive parameter . We use two formulas derived in (18) to compute all solutions u where a turn may occur and to compute the direction of the turn. As an application, we consider quintic a polynomial f(u) with positive and distinct roots. For such quintic polynomials we conjecture the exact mutiplicity structure of positive solutions and present computer assisted proofs of such exact bifurcation diagrams for various distributions of the real roots. The limiting behavior of the solutions on these bifurcation branches as ! 1 and their stabilities are also investigated." @default.
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- W2169171491 date "2007-02-01" @default.
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- W2169171491 title "On the Exact Multiplicity of Solutions for Boundary-Value Problems via Computing the Direction of Bifurcations" @default.
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