Higher Integrability of the Gradient in Degenerate Elliptic Equations
نویسندگان
چکیده
منابع مشابه
higher integrability of the gradient in degenerate elliptic equations
We prove that under some global conditions on the maximum and the minimum eigenvalue of the matrix of the coefficients, the gradient of the (weak) solution of some degenerate elliptic equations has higher integrability than expected. Technically we adapt the Giaquinta-Modica regularity method in some degenerate cases. When the dimension is two, a consequence of our result is a new Hölder contin...
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The behavior of the “minimal branch” is investigated for quasilinear eigenvalue problems involving the p-Laplace operator, considered in a smooth bounded domain of RN , and compactness holds below a critical dimension N #. The nonlinearity f (u) lies in a very general class and the results we present are new even for p = 2. Due to the degeneracy of p-Laplace operator, for p = 2 it is crucial to...
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ژورنال
عنوان ژورنال: Potential Analysis
سال: 2006
ISSN: 0926-2601,1572-929X
DOI: 10.1007/s11118-006-9030-4