On a Semilinear Elliptic Equation in R2 When the Exponent Approaches Infinity
نویسندگان
چکیده
منابع مشابه
On a Semilinear Elliptic Equation in R when the Exponent Approaches Infinity
We consider a semilinear elliptic equation in R with the nonlinear exponent approaching infinity. In contrast to the blow-up behavior of the corresponding problem in Rn with n ≥ 3, the L(R) norms of the solutions to the equation in R remain bounded from below and above. After a careful study on the decay rates of several quantities, we prove that the normalized solutions will approach the funda...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1995
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1011