On the existenc of positive solutions of nonlinear elliptic equations (Q5951864)
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scientific article; zbMATH DE number 1687364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existenc of positive solutions of nonlinear elliptic equations |
scientific article; zbMATH DE number 1687364 |
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On the existenc of positive solutions of nonlinear elliptic equations (English)
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19 February 2003
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The authors prove that the nonlinear elliptic problem \(\frac 12 \Delta u-f(u)\mu +g(u)\sigma =0\) with Dirichlet conditions has infinitely many solutions. Here \(\mu\) and \(\sigma\) are measures of Kato class, \(f\) and \(g\) are functions with certain properties.
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Green function
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Kato class
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Brownian motion
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additive functionals
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