Wei, YuanhongTian, Jian2021-10-042021-10-042020-09-23Wei, Y., & Tian, J. (2020). Asymptotically linear and superlinear elliptic equations with gradient terms. <i>Electronic Journal of Differential Equations, 2020</i>(99), pp. 1-14.1072-6691https://hdl.handle.net/10877/14606In this article we establish the existence of solutions for elliptic problem involving a gradient term. To handle the so-called non-variational problem, we use a variational methods. We assume that the nonlinear term satisfies an asymptotically linear growth condition or a superlinear growth condition. We show the existence of at least one positive solution and one negative solution.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalPositive solutionNonlinearityGradient termIterative methodMountain pass theoremArticle