Positive solutions for Robin problems with general potential and logistic reaction (Q334527)
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scientific article; zbMATH DE number 6646202
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions for Robin problems with general potential and logistic reaction |
scientific article; zbMATH DE number 6646202 |
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Positive solutions for Robin problems with general potential and logistic reaction (English)
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1 November 2016
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The authors are concerned with semilinear elliptic problems driven by the Laplace operator in a smooth and bounded domain and featuring superdiffusive logistic-type reaction term. The goal of the paper is to establish some bifurcation results that describe the dependence of the set of positive solutions on the parameter of the problem. Existence of extreme solutions and their properties are further investigated.
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indefinite and unbounded potential
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semilinear equation
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superdiffusive reaction
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bifurcation-type theorem
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positive solution
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Robin problem
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