Critical blowup exponent to a class of semilinear elliptic equations with constraints in higher dimension-local properties
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We study a class of semilinear elliptic equations with constraints in higher dimension. It is known that several mathematical structures of the problem are closed to those of the Liouville equation in dimension two. In this paper, we establish a classification of entire solutions, the sup \(+\) inf-type inequality and the quantized blowup mechanism.
KeywordsCritical blowup exponent Scaling invariance Classification of entire solutions sup \(+\) inf-type inequality Blowup Quantization
Mathematics Subject Classification35B33 35J61 35A20 35B08 35Q60
This work is partially supported by Scientific Research A (No. 26247013) of Japan Society for the Promotion of Science (JSPS).
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