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Existence and Uniqueness of Solutions for p-Laplace Equation with Nonlinear Neumann Boundary Conditions

Author: YuanJingQi
Tutor: ZhaoPeiHao
School: Lanzhou University
Course: Basic mathematics
Keywords: p-Laplace equation weak solution nonlinear Neumann boundary con-ditions variational method
CLC: O175.8
Type: Master's thesis
Year: 2011
Downloads: 21
Quote: 0
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Abstract


We study the solution for the following p-Laplace equations with nonlinear Neu-mann boundary conditions whereΩis a bounded smooth domain in RN with N≥2. Under appropriate assumptions on nonlinear terms f(x, u) and h(x, u), we prove the existence and uniqueness of weak solution for equation (P). Our approach is based on variational method.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Boundary Value Problems
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