SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Advanced Nonlinear Studies

Volumn 12, Issue 1, 2012, Pages 115-122

Blow up points and the morse indices of solutions to the liouville equation in two-dimension

(1) Takahashi, Futoshi a

a Osaka Prefecture University (Japan)

Author keywords

Blow up point; Liouville equation; Morse index

Indexed keywords

EID: 84867320767 PISSN: 15361365 EISSN: None Source Type: Journal
DOI: 10.1515/ans-2012-0107 Document Type: Article

Times cited : (6)

References (17)

1
- 77954784778
- u" in two dimensions
- u" in two dimensions, Comm. Partial Differential Equations 16 (1991) 1223-1253.
- (1991) Comm. Partial Differential Equations , vol.16 , pp. 1223-1253
- Brezis, H.¹ Merle, F.²

2
- 0001296888
- A special class of stationary flows for twodimensional Euler equations: A statistical mechanics description, i & II
- & 174 (1995) 229-260
- E. Caglioti, PL. Lions, C. Marchioro, and M. Pulvirenti: A special class of stationary flows for twodimensional Euler equations: a statistical mechanics description, I & II. Comm. Math. Phys. 143 (1992) 501-525 & 174 (1995) 229-260.
- (1992) Comm. Math. Phys. , vol.143 , pp. 501-525
- Caglioti, E.¹ Lions, P.L.² Marchioro, C.³ Pulvirenti, M.⁴

3
- 0034336343
- The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory
- D. Chae, and O. Imanuvilov: The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory, Comm. Math. Phys. 215 (2000) 119-142.
- (2000) Comm. Math. Phys. , vol.215 , pp. 119-142
- Chae, D.¹ Imanuvilov, O.²

4
- 34250107708
- 2
- 2, Acta Math. 159 (1987) 215-259.
- (1987) Acta Math. , vol.159 , pp. 215-259
- Chang, S.Y.A.¹ Yang, P.C.²

5
- 84972492777
- 2
- 2, J. Differential Geom. 27 (1988) 259-296.
- (1988) J. Differential Geom. , vol.27 , pp. 259-296
- Chang, S.Y.A.¹ Yang, P.C.²

6
- 84974004406
- Classification of solutions of some nonlinear elliptic equations
- E. Chen, and C. Li: Classification of solutions of some nonlinear elliptic equations, Duke Math. J. 63(3) (1991) 615-622.
- (1991) Duke Math. J. , vol.63 , Issue.3 , pp. 615-622
- Chen, E.¹ Li, C.²

7
- 84887217856
- Morse index and blow-up points of solutions of some nonlinear problems
- K. El Mehdi, and F. Pacella: Morse index and blow-up points of solutions of some nonlinear problems, Atti. Accad. Naz. Lincei Mat. Appl. 13 (2002) 101-105.
- (2002) Atti. Accad. Naz. Lincei Mat. Appl. , vol.13 , pp. 101-105
- El Mehdi, K.¹ Pacella, F.²

8
- 10844236515
- Some results on the Gel'fand problem
- F. Gladiali, and M. Grossi: Some results on the Gel'fand problem, Comm. Partial Differential Equations 29(2004)1335-1364.
- (2004) Comm. Partial Differential Equations , vol.29 , pp. 1335-1364
- Gladiali, F.¹ Grossi, M.²

9
- 58249088753
- On the spectrum of a nonlinear planar problem
- F. Gladiali, and M. Grossi: On the spectrum of a nonlinear planar problem, Ann. I. H. Poincaré 26 (2009) 191-222.
- (2009) Ann. I. H. Poincaré , vol.26 , pp. 191-222
- Gladiali, F.¹ Grossi, M.²

10
- 77952955238
- Nonexistence of multi-bubble solutions to some elliptic equations on convex domains
- M. Grossi, and F. Takahashi: Nonexistence of multi-bubble solutions to some elliptic equations on convex domains, J. Funct. Anal. 259 (2010) 904-917.
- (2010) J. Funct. Anal. , vol.259 , pp. 904-917
- Grossi, M.¹ Takahashi, F.²

11
- 0033248355
- Harnack type inequality: The method of moving planes
- Y. Y Li: Harnack type inequality: the method of moving planes, Commun. Math. Phys. 200 (1999) 421-444.
- (1999) Commun. Math. Phys. , vol.200 , pp. 421-444
- Li, Y.Y.¹

12
- 0001759122
- uin dimension two
- u in dimension two, Indiana Univ. Math. J. 43 (1994) 1255-1270.
- (1994) Indiana Univ. Math. J. , vol.43 , pp. 1255-1270
- Li, Y.Y.¹ Shafrir, I.²

13
- 36248999425
- An expository survey on recent development of mean field equations
- C. S. Lin: An expository survey on recent development of mean field equations, Discrete Contin. Dyn. Syst. 19 no.2, (2007) 387-410.
- (2007) Discrete Contin. Dyn. Syst. , vol.19 , Issue.2 , pp. 387-410
- Lin, C.S.¹

14
- 0040434832
- Convergence for a liouville equation
- L. Ma, and J. Wei: Convergence for a Liouville equation, Comment. Math. Helv. 76 (2001) 506-514. (Pubitemid 33574164)
- (2001) Commentarii Mathematici Helvetici , vol.76 , Issue.3 , pp. 506-514
- Ma, L.¹ Wei, J.C.²

15
- 84974747888
- Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities
- K. Nagasaki, and T. Suzuki: Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities, Asymptotic Anal. 3 (1990) 173-188.
- (1990) Asymptotic Anal. , vol.3 , pp. 173-188
- Nagasaki, K.¹ Suzuki, T.²

16
- 0000620395
- On multivortex solutions in chern-simons gauge theory
- M. Struwe, and G. Tarantello: On multivortex solutions in Chern-Simons gauge theories, Boll. Unione Mat. Ital. Sez. B. 8 (1998) 109-121. (Pubitemid 128443293)
- (1998) Bollettino della Unione Matematica Italiana B , Issue.1 , pp. 109-121
- Struwe, M.¹ Tarantello, G.²

17
- 70349652309
- Morse indices and the number of maximum points of some solutions to a two-dimensional elliptic problem
- F. Takahashi: Morse indices and the number of maximum points of some solutions to a two-dimensional elliptic problem, Archiv der Math. 93 (2009) 191-197.
- (2009) Archiv der Math. , vol.93 , pp. 191-197
- Takahashi, F.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.