On the comparison principle for unbounded solutions of elliptic equations with first order terms
01 Pubblicazione su rivista
Leonori Tommaso, Porretta Alessio
ISSN: 0022-247X
We 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.