Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domain
We consider a (p,q)-Laplace equation with the exponent values p,q depending on the boundary which is divided into two parts by a hyperplane. Assuming that the equation is uniformly degenerate with respect to a small parameter in the part of domain where q<p, a special Harnack inequality is pr...
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Texas State University
2018-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/143/abstr.html |
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doaj-d5a5df4184434c38a21a65a5d5603c1e2020-11-24T21:07:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-07-012018143,17Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domainSarvan T. Huseynov0 Baku State Univ., Baku, Azerbaijan We consider a (p,q)-Laplace equation with the exponent values p,q depending on the boundary which is divided into two parts by a hyperplane. Assuming that the equation is uniformly degenerate with respect to a small parameter in the part of domain where q<p, a special Harnack inequality is proved for non-negative solutions.http://ejde.math.txstate.edu/Volumes/2018/143/abstr.htmlp(x)-Laplacianelliptic equationHarnack inequality |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sarvan T. Huseynov |
| spellingShingle |
Sarvan T. Huseynov Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domain Electronic Journal of Differential Equations p(x)-Laplacian elliptic equation Harnack inequality |
| author_facet |
Sarvan T. Huseynov |
| author_sort |
Sarvan T. Huseynov |
| title |
Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domain |
| title_short |
Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domain |
| title_full |
Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domain |
| title_fullStr |
Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domain |
| title_full_unstemmed |
Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domain |
| title_sort |
harnack inequality for (p,q)-laplacian equations uniformly degenerated in a part of domain |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2018-07-01 |
| description |
We consider a (p,q)-Laplace equation with the exponent values p,q
depending on the boundary which is divided into two parts by a hyperplane.
Assuming that the equation is uniformly degenerate with respect to
a small parameter in the part of domain where q<p,
a special Harnack inequality is proved for non-negative solutions. |
| topic |
p(x)-Laplacian elliptic equation Harnack inequality |
| url |
http://ejde.math.txstate.edu/Volumes/2018/143/abstr.html |
| work_keys_str_mv |
AT sarvanthuseynov harnackinequalityforpqlaplacianequationsuniformlydegeneratedinapartofdomain |
| _version_ |
1716761485194035200 |