Existence of Solutions for Semilinear Integro-differential Equations of p-Kirchhoff Type
In our research we will study the existence of weak solutions to the problem $$ -[M(\|u\|^{p}_{1,p})]^{p-1}\Delta_{p} u = f(x,u)+\int_{\Omega}k(x,y)H(u)dy \quad \mbox{in }\Omega,$$ \noindent with zero Dirichlet boundary condition on a bounded smooth domain of $\mathbb{R}^{n} $, $ $ $1<p<N$; $...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2015-01-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://www.armjmath.sci.am/index.php/ajm/article/view/103 |