Hölder continuity of solutions to an anisotropic elliptic equation
✍ Scribed by Vitali Liskevich; Igor I. Skrypnik
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 626 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
For a class of anisotropic quasi-linear elliptic equations with measurable coefficients, following DiBenedetto's intrinsic rescaling method, we prove the Hölder continuity of solutions under the condition for which only local boundedness was known.
📜 SIMILAR VOLUMES
Consider on G a degenerate elliptic system in diagonal form of which solutions are in a weighted Sobolev space with weight function that belongs to the Muckenhoupt class A A and characteristic values of the leading coefficient matrix that are 2 proportional to a positive power of the modulus of the
If q > n. by Sobolev's theorem, H".\*(O, RN) c Cm-'-'(Q, R") with k = 1 -n/q. ' Note that q t 2 < 4/(2 -9) and so. if 1 < q < 2 and (1.12) holds. condition (1.7) is of course fulfilled.