Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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
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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 $f(x, u, \Delta u) = -u$\mid$\Delta u$\mid$^{p-2} + h, p \geq 2, h \in L^\infty$.

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