Global bifurcation of positive solutions of semi-linear elliptic partial differential equations with indefinite weight (Q1733175)
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scientific article; zbMATH DE number 7039929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global bifurcation of positive solutions of semi-linear elliptic partial differential equations with indefinite weight |
scientific article; zbMATH DE number 7039929 |
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Global bifurcation of positive solutions of semi-linear elliptic partial differential equations with indefinite weight (English)
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21 March 2019
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Summary: In this paper we consider global bifurcation of solutions of nonlinear eigenvalue problems for second order uniformly elliptic equations with an indefinite weight function and the Dirichlet boundary condition. We show the existence of an unbounded continua contained in the classes of positive and negative functions and bifurcating from the points of the line of trivial solutions corresponding to the principal eigenvalues of the linearized problem.
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uniformly elliptic equations
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nonlinear eigenvalue problem
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global bifurcation
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0.9668002
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0.96471417
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