Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 2
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- Pages.291-307
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
EXISTENCE OF SOLUTIONS FOR P-LAPLACIAN TYPE EQUATIONS
- Kim, Jong-Sik (Department of Mathematics Seoul National University ) ;
- Ku, Hye-Jin (Department of Mathematics Seoul National University )
- Published : 1996.05.01
Abstract
In this paper, we shall show the existence of solutions of the following nonlinear partial differential equation $$ {^{divA(-\Delta u) = f(x, u, \Delta u) in \Omega}^{u = 0 on \partial\Omega} $$ where $f(x, u, \Delta u) = -u