## An existence result on positive solutions for a class of $$p$$-Laplacian systems.(English)Zbl 1330.35132

### MSC:

 35J56 Boundary value problems for first-order elliptic systems 35J60 Nonlinear elliptic equations

### Keywords:

$$p$$-Laplacian systems; semipositone; positive solutions
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### References:

 [1] Berestycki, H.; Caffarelli, L.A.; Nirenberg, L., Inequalities for second-order elliptic equations with applications to unbounded domains I. A celebration of J.F. Nash, jr, Duke math. J., 81, 467-494, (1996) · Zbl 0860.35004 [2] Castro, A.; Maya, C.; Shivaji, R., Nonlinear eigenvalue problems with semipositone structure, Electron. J. differential equations, 5, 33-49, (2000) · Zbl 0959.35045 [3] Dalmasso, R., Existence and uniqueness of positive solutions of semilinear elliptic systems, Nonlinear anal., 39, 559-568, (2000) · Zbl 0940.35091 [4] Dravek, P.; Hernandez, J., Existence and uniqueness of positive solutions for some quasilinear elliptic problems, Nonlinear anal., 44, 189-204, (2001) · Zbl 0991.35035 [5] Hai, D.D., On a class of sublinear quasilinear elliptic problems, Proc. amer. math. soc., 131, 2409-2414, (2003) · Zbl 1094.35057 [6] D.D. Hai, R. Shivaji, An existence result on positive solutions for a class of semilinear elliptic systems, Proc. Roy. Soc. Edinburgh, to appear. · Zbl 1067.35026 [7] Lions, P.L., On the existence of positive solutions of semilinear elliptic equations, SIAM rev., 24, 441-467, (1982) · Zbl 0511.35033
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