An existence result on positive solutions for a class of p-Laplacian systems

POSITIVE SOLUTIONS FOR A CLASS OF p(x)-LAPLACIAN PROBLEMS

“…According to (9) and (10), we can conclude that (z 1 , z 2 ) is a supersolution of (3). Let μ be sufficiently large; then from (7) and the definition of (φ 1 , φ 2 ), it is easy to see that φ 1 ≤ z 1 and φ 2 ≤ z 2 .…”

“…Especially, if p(x) ≡ p (a constant), (1) is the well-known p-Laplacian systems. There are many papers on the existence of solutions for p-Laplacian elliptic systems, for example, [1][2][3][4][5][6][7][8][9].…”

“…In [9] the authors consider the existence of positive weak solutions for the following p-Laplacian problems:…”

Existence of positive solutions for variable exponent elliptic systems

“…Especially, if p(x) ≡ p (a constant), (P) is the well-known p-Laplacian system. There are many articles on the existence of solutions for p-Laplacian elliptic systems, for example [5,10].…”

Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator

“…For the special case, p(x) ≡ p(a constant), (1.1) becomes the well known p-Laplacian problem. There have been many papers on this class of problems, see [10][11][12][13][14][15][16][17][18][19] and the reference therein.…”