| Reference: | [C]. Cheng K. S. and Lin J. T. , On the elliptic equations △u=K(x)u and △u= K(x) e2 u
,Trans. Amer. Math. Soc. 304(1987) , 639-668 .
[D]. Ding W. Y. and Ni W. M., On the elliptic equation △u=K(x)u n-2分之n+2 = 0 and related topics, DUKE math. J. 52(1985) , 485-506 .
[De]. Devi to C. L. , "Functional Analysis" , Academic press, INC. , New York, 1978 .
[H]. Hartman P. , "Ordinary Differential Equations" , John Wiley &; Sons. Inc. , New York, 1964 .
[K]. Kusano T . and Swanson C. A. , Radial entire solution of class quasilinear elliptic equations ,Acad.
Proc. Inc. January(1989) 379-399.
[Ke] . Keller J. B. , On solutions of△u= f( u) , Comm. Pure Appl. Math. , 10(1957) , 503-510 .
[KK] . Kawano N. and Kusano T. On the positive entire solutions of a class of second order semilinear elliptic systems , Math. Z. 186(1984), 287-297 .
[KKN].Kawano N., Kusa no T. and Naito M., On the elliptic equations
△u=(x) u in R2 ,Proc. Amer. Math. Soc. 93( 1985) , 73 - 78 .
[KN] . Kusano T., Naito M. and Swanson C. A. , Radial entire solution to even order semilinear elliptic equations in the plane, Proc. Roy. Soc. Edingburgh Sect. A 105(1987),275-287.
[KO]. Kusano T. and Oharu S. , Bounded entire solutions of second order semilinear elliptic equations
with application to a parabolic initial value problem , Indiana Univ. Math. J . 34(1985) , 85-95.
[KS]. Kusano T., Naito M. and Swanson C. A. , Radial entire solution of even order semi linear
elliptic equations , Canada. J. Math. 40( 1988) , 1281 - 1300 .
[KSU]. Kusano T. , Swanson C. A. and Usami H. , Pairs of positive solutions of quasilinear elliptic equations in exterior domain , Pacific J. Math. 120(1 985) , 385-399 .
[L] . Lin F. -H. , On the elliptic equation Di[aij(X) DjU]-K(x)UP = 0, Proc. Amer. Soc.
95(1985) , 219-226 .
[LN]. Li Yi and Ni Wei - Ming, On the existence and symmetry properties of finite total mass solutions of the Matukuma equations , the eddington equation and their generalizations , Arch. Rational Mech. Anal. 108(1989),175 - 194.
[M]. McOwen R. , On the equation △u + K(x) e2u= f and prescribed negative curvature in R2, J. Math. Anal. Appl. , 103(1984) , 365-370 .
[Mc]. McOwen R. , Conformal metric in [R2 with prescribed Gaussian curvature and positive total curvature , Indiana Univ. Math. J. , 34(1985) , 97-104 .
[N]. Ni W. -M. , On the elliptic equation △u=K(x)u n-2分之n+2 = 0 ,its generalizations and applications in geometry, Indian. Univ. Math. J . 31 (1982) ,493-529 .
[Ni]. Ni W. -M. , On the elliptic equation △u + K(x) e2u = 0 and conformal metrics with prescribed Gassian curvatures , Invent. Math. , 66(1982) , 343 - 352 .
[NJ] . Ni W. -M. and Serrin J. , Existence and nonexistence throrems for ground states of quasi linear partial differential equations ,the anomalous case, Accad. Naz. dei Lincei. ,77(1986),231 - 257.
[NM]. Ni W. -M. and Serrin J., Nonexistence theorems for quasilinear partial differential equations Rendiconti. del Cricoli Mat. di palermo , Series Ⅱ , 8(1985) ,171 - 185.
[NS]. Ni W. -M. and Serrin J . ,Nonexistence theorems for singular solution of quasilinear partial differential equations , Pure and Applied Math. Vol. XXXIX, (1986) 397 - 399.
[Nt]. Naito M. , A note on bounded positive entire solutions of semilinear elliptic equations, Hiroshima Math. J . , 14(1984) , 211-214.
[S] . Sattinger D. H. , conformal metric in R2 with prescribed curvature ,Indiana. Univ. Math. J. , 22 (1972) , 1- 4 .
[T].Tsai L. - Y., On bounded entire solution of Integro - Differential equations ,Chinese J. Math. 16 (1988) , 265 -288 .
[W]. Wheeden R. C. and Zygmund A. ," Measure and Integral" , ( Monographs and texbooks in pure and applied math. ; 43) , ISBN 0-8247-6499-4 . |
