Equivalence Between Uniform L²⋆(Ω) A-Priori Bounds And Uniform L∞(Ω) A-Priori Bounds For Subcritical Elliptic Equations

Authors

A. Castro
Nsoki Mavinga, Swarthmore CollegeFollow
R. Pardo

Document Type

Article

Publication Date

2019

Published In

Topological Methods In Nonlinear Analysis

Abstract

We provide sufficient conditions for a uniform L²⋆(Ω) bound to imply a uniform L∞(Ω) bound for positive classical solutions to a class of subcritical elliptic problems in bounded C² domains in Rᴺ. We also establish an equivalent result for sequences of boundary value problems.

Comments

This work is freely available courtesy of Topological Methods In Nonlinear Analysis.

Recommended Citation

A. Castro, Nsoki Mavinga, and R. Pardo. (2019). "Equivalence Between Uniform L²⋆(Ω) A-Priori Bounds And Uniform L∞(Ω) A-Priori Bounds For Subcritical Elliptic Equations". Topological Methods In Nonlinear Analysis. Volume 53, Issue 1. 43-56. DOI: 10.12775/TMNA.2018.036
https://works.swarthmore.edu/fac-math-stat/248