[원서] Malchiodi A. - Some new entire solutions of semilinear elliptic e…
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[원서] Malchiodi A. - Some new entire solutions of semilinear elliptic equations on R^n
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Some new entire solutions of semilinear elliptic equations on Rn
Andrea MALCHIODI
SISSA, via Beirut 2-4, 34014 Trieste, Italy.
abstract. We prove existence of a new type of positive solutions of the semilinear equation 징짖u+u = up on Rn, where 1 ` p ` n+2. These solutions are bounded, but do not tend to zero at in詮nity. Indeed, they decay to zero away from three half-lines with a common origin, and their asymptotic pro詮le is periodic along these half-lines.
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癤
Some new entire solutions of semilinear elliptic equations on Rn
Andrea MALCHIODI
SISSA, via Beirut 2-4, 34014 Trieste, Italy.
abstract. We prove existence of a new type of positive solutions of the semilinear equation 징짖u+u = up on Rn, where 1 ` p ` n+2. These solutions are bounded, but do not tend to zero at in詮nity. Indee…(생략(省略))
[원서] Malchiodi A. - Some new entire solutions of semilinear elliptic equations on R^n
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