Geodesic
EXISTENCE RESULT FOR NONUNIFORMLY DEGENERATE SEMILINEAR ELLIPTIC SYSTEMS IN N
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 561-570

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We study the existence of solutions for a class of nonuniformly degenerate elliptic systems in N, N ≥ 3, of the formwhere hi ∈ L1loc(N), hi(x) ≧ γ0|x|α with α ∈ (0, 2) and γ0 > 0, i = 1, 2. The proofs rely essentially on a variant of the Mountain pass theorem (D. M. Duc, Nonlinear singular elliptic equations, J. Lond. Math. Soc. 40(2) (1989), 420–440) combined with the Caffarelli–Kohn–Nirenberg inequality (First order interpolation inequalities with weights, Composito Math. 53 (1984), 259–275).
DOI : 10.1017/S0017089509005175
Mots-clés : 35J65, 35J20 
CHUNG, NGUYEN THANH; TOAN, HOANG QUOC. EXISTENCE RESULT FOR NONUNIFORMLY DEGENERATE SEMILINEAR ELLIPTIC SYSTEMS IN N. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 561-570. doi: 10.1017/S0017089509005175
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     author = {CHUNG, NGUYEN THANH and TOAN, HOANG QUOC},
     title = {EXISTENCE {RESULT} {FOR} {NONUNIFORMLY} {DEGENERATE} {SEMILINEAR} {ELLIPTIC} {SYSTEMS} {IN} {N}},
     journal = {Glasgow mathematical journal},
     pages = {561--570},
     year = {2009},
     volume = {51},
     number = {3},
     doi = {10.1017/S0017089509005175},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005175/}
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