Singular limits of a two-dimensional boundary value problem arising in corrosion modelling

Archive for Rational Mechanics and Analysis

Volumn 182, Issue 2, 2006, Pages 181-221

  Dávila, Juan ^a   Del Pino, Manuel ^a   Musso, Monica ^b   Wei, Juncheng ^c  

^a UNIVERSITY OF CHILE   (Chile)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

^c CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32544435689     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-006-0421-x     Document Type: Article

References (13)

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4. DÁVILA, J., DEL PINO, M., MUSSO, M.: Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. To appear in J. Funct. Anal. (2005)
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6. DEL PINO, M., KOWALCZYK, M., MUSSO, M.: Singular limits in Liouville-type equations. Calc. Var. Partial Differential Equations 24, 47-81 (2005)
7. ESPOSITO, P., GROSSI, M., PISTOIA, A.: On the existence of blowing-up solutions for a mean field equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 22, 227-257 (2005)
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9. u in dimension two. Indiana Univ. Math. J. 43, 1255-1270 (1994)
10. MEDVILLE, K., VOGELIUS, M.: Blow up behaviour of planar harmonic functions satisfying a certain exponential Neumann boundary condition. SIAM J. Math. Anal. 36, 1772-1806 (2005)
11. MEDVILLE, K., VOGELIUS, M.: Existence and blow up of solutions to certain classes of two dimensional nonlinear Neumann problems. To appear in Ann. Inst. H. Poincaré Anal. Non Linéaire. (2005)
12. NAGASAKI, K., SUZUKI, Y.: Asymptotic analysis for two-dimensional elliptic eigen-value problems with exponentially dominated nonlinearities. Asymptot. Anal. 3, 173-188 (1990)
13. VOGELIUS, M., XU, J.M.: A nonlinear elliptic boundary value problem related to corrosion modeling. Quart. Appl. Math. 56, 479-505 (1998)