Existence results for a class of nonlinear elliptic problems with p-growth in the gradient Original Research Article

We prove the existence of bounded solutions for a class of nonlinear elliptic problems whose model is in the form: equation(∗) View the MathML source where 〈a(x,η,ξ)ξ〉⩾b(|η|)|ξ|p, b is a continuous monotone decreasing function and k1 and k2 are continuous monotone increasing functions.