Nonexistence results for weighted p-Laplace equations with singular nonlinearities
In this article we present some nonexistence results concerning stable solutions to the equation $$ \hbox{div}\big(w(x)|\nabla u|^{p-2}\nabla u\big) =g(x)f(u)\quad \text{in }\mathbb{R}^N,\;p\geq 2 $$ when f(u) is either $u^{-\delta}+u^{-\gamma}$ with $\delta,\gamma>0$ or $e^{1/u}$ where w...
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Texas State University
2019-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/95/abstr.html |
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doaj-8ff8b83185d24fd8b638c5921e61b7332020-11-24T21:21:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-07-01201995,112Nonexistence results for weighted p-Laplace equations with singular nonlinearitiesKaushik Bal0Prashanta Garain1 Indian Institute of Technology, Kanpur, India Indian Institute of Technology, Kanpur, India In this article we present some nonexistence results concerning stable solutions to the equation $$ \hbox{div}\big(w(x)|\nabla u|^{p-2}\nabla u\big) =g(x)f(u)\quad \text{in }\mathbb{R}^N,\;p\geq 2 $$ when f(u) is either $u^{-\delta}+u^{-\gamma}$ with $\delta,\gamma>0$ or $e^{1/u}$ where w,g are suitable weight functions.http://ejde.math.txstate.edu/Volumes/2019/95/abstr.htmlp-Laplaciannonexistencestable solution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kaushik Bal Prashanta Garain |
| spellingShingle |
Kaushik Bal Prashanta Garain Nonexistence results for weighted p-Laplace equations with singular nonlinearities Electronic Journal of Differential Equations p-Laplacian nonexistence stable solution |
| author_facet |
Kaushik Bal Prashanta Garain |
| author_sort |
Kaushik Bal |
| title |
Nonexistence results for weighted p-Laplace equations with singular nonlinearities |
| title_short |
Nonexistence results for weighted p-Laplace equations with singular nonlinearities |
| title_full |
Nonexistence results for weighted p-Laplace equations with singular nonlinearities |
| title_fullStr |
Nonexistence results for weighted p-Laplace equations with singular nonlinearities |
| title_full_unstemmed |
Nonexistence results for weighted p-Laplace equations with singular nonlinearities |
| title_sort |
nonexistence results for weighted p-laplace equations with singular nonlinearities |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2019-07-01 |
| description |
In this article we present some nonexistence results concerning stable
solutions to the equation
$$
\hbox{div}\big(w(x)|\nabla u|^{p-2}\nabla u\big)
=g(x)f(u)\quad \text{in }\mathbb{R}^N,\;p\geq 2
$$
when f(u) is either $u^{-\delta}+u^{-\gamma}$ with $\delta,\gamma>0$
or $e^{1/u}$ where w,g are suitable weight functions. |
| topic |
p-Laplacian nonexistence stable solution |
| url |
http://ejde.math.txstate.edu/Volumes/2019/95/abstr.html |
| work_keys_str_mv |
AT kaushikbal nonexistenceresultsforweightedplaplaceequationswithsingularnonlinearities AT prashantagarain nonexistenceresultsforweightedplaplaceequationswithsingularnonlinearities |
| _version_ |
1726000705158774784 |