Abstract

We consider a quasilinear elliptic problem whose left-hand side is a Leray-Lions operator of p-Laplacian type. If p < γ < N and the right-hand side is a Radon measure with singularity of order γ at x0A ∈ ω, then any supersolution in W1,p(ω) has singularity of order at least (γ−p)/(p−1) at x0. In the proof we exploit a pointwise estimate of A-superharmonic solutions, due to Kilpelainen and Malý, which involves Wolff's potential of Radon's measure.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.