Semilinear elliptic equations involving a gradient term in unbounded domains
| Autor: | V. Raghavendra, Rasmita Kar |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2014, Iss 219,, Pp 1-13 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | In this article, we study the existence of a classical solution of semilinear elliptic BVP involving gradient term of the type $$\displaylines{ -\Delta u=g(u)+\psi(\nabla u)+f\quad \text{ in }\Omega,\cr u=0\quad \text{on }\partial\Omega, }$$ where $\Omega$ is a (not necessarily bounded) domain in $\mathbb{R}^n$, $n\geq2$ with smooth boundary $\partial\Omega$. $f\in C_{\rm loc}^{0,\alpha}(\overline\Omega),0 |
| Databáze: | Directory of Open Access Journals |
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