Pseudo-monotonicity and degenerate elliptic operators of second order
Extending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator $$ Au(x)=-mathop{m div}a(x,u,abla u))+a_0(x,u,abla u), $$ (in particular, when only large mon...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-12-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/09/a2/abstr.html |
| _version_ | 1818277328994697216 |
|---|---|
| author | Youssef Akdim Elhoussine Azroul |
| author_facet | Youssef Akdim Elhoussine Azroul |
| author_sort | Youssef Akdim |
| collection | DOAJ |
| description | Extending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator $$ Au(x)=-mathop{m div}a(x,u,abla u))+a_0(x,u,abla u), $$ (in particular, when only large monotonicity is satisfied) |
| first_indexed | 2024-12-12T22:59:48Z |
| format | Article |
| id | doaj.art-eb704f349c2c48f68718aa4759930ed8 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T22:59:48Z |
| publishDate | 2002-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-eb704f349c2c48f68718aa4759930ed82022-12-22T00:08:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-12-01Conference09924.Pseudo-monotonicity and degenerate elliptic operators of second orderYoussef AkdimElhoussine AzroulExtending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator $$ Au(x)=-mathop{m div}a(x,u,abla u))+a_0(x,u,abla u), $$ (in particular, when only large monotonicity is satisfied)http://ejde.math.txstate.edu/conf-proc/09/a2/abstr.htmlWeighted Sobolev spacespseudo-monotonicitynonlinear degenerate elliptic operators. |
| spellingShingle | Youssef Akdim Elhoussine Azroul Pseudo-monotonicity and degenerate elliptic operators of second order Electronic Journal of Differential Equations Weighted Sobolev spaces pseudo-monotonicity nonlinear degenerate elliptic operators. |
| title | Pseudo-monotonicity and degenerate elliptic operators of second order |
| title_full | Pseudo-monotonicity and degenerate elliptic operators of second order |
| title_fullStr | Pseudo-monotonicity and degenerate elliptic operators of second order |
| title_full_unstemmed | Pseudo-monotonicity and degenerate elliptic operators of second order |
| title_short | Pseudo-monotonicity and degenerate elliptic operators of second order |
| title_sort | pseudo monotonicity and degenerate elliptic operators of second order |
| topic | Weighted Sobolev spaces pseudo-monotonicity nonlinear degenerate elliptic operators. |
| url | http://ejde.math.txstate.edu/conf-proc/09/a2/abstr.html |
| work_keys_str_mv | AT youssefakdim pseudomonotonicityanddegenerateellipticoperatorsofsecondorder AT elhoussineazroul pseudomonotonicityanddegenerateellipticoperatorsofsecondorder |