Leonori, TommasoPorretta, Alessio2024-11-202024-11-202018-01-15Tommaso Leonori, Alessio Porretta, On the comparison principle for unbounded solutions of elliptic equations with first order terms, Journal of Mathematical Analysis and Applications, Volume 457, Issue 2, 2018, Pages 1492-1501, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2017.04.0180022-247Xhttps://doi.org/10.1016/j.jmaa.2017.04.018https://hdl.handle.net/20.500.14468/24445We prove a comparison principle for unbounded weak sub/super solutions of the equation λu−div(A(x)Du)=H(x,Du) in Ω where A(x) is a bounded coercive matrix with measurable ingredients, λ≥0 and ξ↦H(x,ξ) has a super linear growth and is convex at infinity. We improve earlier results where the convexity of H(x,⋅) was required to hold globally.eninfo:eu-repo/semantics/openAccess12 MatemáticasartículoComparison principle for unbounded solutionsNonlinear elliptic equations with lower order terms