低于临界增长p-调和型方程组的完全正则性

Full Regularity of p-Harmonic Type Systems Below the Critical Growth

当p≥2时,得到一类低于临界增长的退化椭圆型方程组弱解微商属于局部Morrey- Campanauo空间L^(p,λ)和L^(p,γ);在附加条件下,进一步建立其弱解微商的局部Hlder连续性.

For p ≥ 2, the authors establish that each weak solution of a class of degenerate elliptic systems below the critical growth belongs to Morrey spaces. Furthermore, the authors obtain that the first derivative of each weak solution is locally Hoelder continuous under additional conditions.