Ground States and Free Boundary Value Problems for the n-Laplacian in n Dimensional Space

Journal of Functional Analysis

Volumn 172, Issue 1, 2000, Pages 177-201

  García Huidobro, Marta ^a   Manásevich, Raúl ^a   Serrin, James ^b,c   Tang, Moxun ^b   Yarur, Cecilia S ^d  

^a PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

^b UNIVERSITY OF CHILE   (Chile)

^c UNIVERSITY OF MINNESOTA   (United States)

^d UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012440109     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1999.3532     Document Type: Article

References (10)

1. 2. Arch. Rational Mech. Anal. 96:1986;147-165.
2. Berestycki H., Gallouet T., Kavian O. Équations de champs scalaires euclidiens non-linéaires dans le plan. C. R. Acad. Sci. Paris. 297:1983;307-310.
3. 2. Comm. Pure Appl. Math. 48:1995;639-655.
4. Erbe L., Tang M. Uniqueness theorems for positive solutions of quasilinear elliptic equations in a ball. J. Differential Equations. 138:1997;351-379.
5. n. Adv. in Math. 118:1996;177-243.
6. F. Gazzola, J. Serrin, and, M. Tang, Existence of ground states and free boundary value problems for quasilinear elliptic operators, Adv. in Differential Equations, to appear.
7. N with nonlinearities in the critical growth range. Differential Integral Equations. 9:1996;967-979.
8. Ni W. M., Serrin J. Non-existence theorems for quasilinear partial differential equations. Supplemento, Rend. Circ. Mat. Palermo. 8:1985;171-185.
9. Ni W. M., Serrin J. Existence and nonexistence theorems for ground states for quasilinear partial differential equations. The anomalous case. Accad. Naz. Lincei, Atti Connegni. 77:1986;231-257.
10. Pucci P., Serrin J. Uniqueness of ground states for quasilinear elliptic equations in the exponential case. Indiana Univ. Math. J. 47:1998;529-539.