Note on the Chen-Lin result with the Li-Zhang method (Q2846865)
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scientific article; zbMATH DE number 6204374
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on the Chen-Lin result with the Li-Zhang method |
scientific article; zbMATH DE number 6204374 |
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3 September 2013
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nonlinear elliptic equation
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prescribed scalar curvature equation
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elliptic estimates
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math.AP
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0.82491815
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0.82481956
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0.82224226
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Note on the Chen-Lin result with the Li-Zhang method (English)
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The paper under review deals with the nonlinear elliptic equation NEWLINE\[NEWLINE\Delta u=Ve^u\qquad{\mathrm in}\;\Omega\,,NEWLINE\]NEWLINE where \(V\) is a bounded positive potential and \(\Omega\subset{\mathbb R} ^2\) is a bounded domain with smooth boundary.NEWLINENEWLINEThe main result of this paper gives an alternative proof of a known ``\(\sup+\inf\)'' inequality. This is essentially done by combining the Li-Zhang method with the moving-plane method of Gidas, Ni and Nirenberg.
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