Oscillation criteria for half-linear elliptic inequalities with p(x)-Laplacians via Riccati method

Riccati inequality for half-linear elliptic inequalities with p(x)-Laplacians is established, and oscillation criteria are derived by using the Riccati inequality. Our method is to reduce oscillation problems for half-linear elliptic inequalities with p(x)-Laplacians to one-dimensional Riccati inequality with variable exponents. Generalizations to more general elliptic inequalities with p(x)-Laplacians are also discussed.