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• W2907757632 endingPage "209" @default.
• W2907757632 startingPage "127" @default.
• W2907757632 abstract "This chapter presents some results for elliptic boundary value problems, where bifurcation theory plays an important role in the proofs and focuses on development. The chapter discusses a new phenomenon—namely, bifurcation from infinity caused by spatial degeneracy in the nonlinearity and determined by boundary blow-up solutions. Moreover, it combines bifurcation argument and order structure to study a system of elliptic equations and demonstrate that, apart from multiplicity results these techniques can be used to discuss the stability and the profiles of the solutions. It also presents some fine techniques in determining the exact number of positive solutions of elliptic equations over a ball—in particular, this chapter gives the proof of a long standing conjecture on the perturbed Gelfand equation. The chapter also discusses the usefulness of nodal properties of solutions in global bifurcation theory. Most of the problems discussed in this chapter are open-ended." @default.
• W2907757632 created "2019-01-11" @default.
• W2907757632 creator A5087725227 @default.
• W2907757632 date "2005-01-01" @default.
• W2907757632 modified "2023-09-25" @default.
• W2907757632 title "Bifurcation and Related Topics in Elliptic Problems" @default.
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