A STUDY OF DEGENERATE ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
| Author | Almannaei, Abdulsalam. | |
|---|---|---|
| metadata.dc.contributor.department | University of syracuse | |
| metadata.dc.date.accessioned | 2026-09-20T15:52:02Z | |
| Publication date | 1998 | |
| Degree level | Doctoral | |
| Abstract | ABSTRACT In this thesis, two types of second order elliptic partial differential equations will be studied. The first type is the following equation A(க,) +2B(க,0) தர + C(க,ப) ர -0 for a function u of Sobolev class W2,2(n2). Here A, B and C are measurable functions on with A > 0,C > 0 and AC - B2 > 0 a.e. Our main result will be that u is of class C1(n2) provided that locally integrable on n2. The second equation we will study is the non-homogeneous p-harmonic equation (A+C)2 AC - B2 is div |Vu|P-2 Vu = div f for a function u E WI,P(R"), where f e W1,9(9") with - += pq =1. Our main result is the following: THEOREM. Let u be a non-homogeneous p-harmonic function on R" of class W1P(R"), where 1 g € W1,2(8", 82") and the following uniform estimate holds Among other applications, this theorem will be used to establish higher integrability of Vu. | |
| metadata.dc.identifier.other | Drupal node 3579 | |
| metadata.dc.identifier.other | https://digitalrepository.uob.edu.bh/en/dar/study-degenerate-elliptic-partial-differential-equations | |
| metadata.dc.identifier.uri | http://165.227.56.122/handle/123456789/7266 | |
| Language | en | |
| Link | https://digitalrepository.uob.edu.bh/en/_flysystem/fedora/2025-06/00720_a_study_of_degenerate_elliptic_partial_differential_equations.pdf | |
| Subject | Differential equations, Elliptic | |
| Title | A STUDY OF DEGENERATE ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS | |
| Type | Doctoral Dissertation |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- node-3579-1-00720_a_study_of_degenerate_elliptic_partial_differential_equations.pdf
- Size:
- 1.6 MB
- Format:
- Adobe Portable Document Format