Modified Boundary Value Problems For a Quasi-Linear Elliptic Equation
- 1 January 1956
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 8, 203-219
- https://doi.org/10.4153/cjm-1956-024-5
Abstract
1. Introduction. The quasi-linear elliptic partial differential equation to be studied here has the form(1.1) Δu = − F(P,u).Here Δ is the Laplacian while F(P,u) is a continuous function of a point P and the dependent variable u. We shall study the Dirichlet problem for (1.1) and will find that the usual formulation must be modified by the inclusion of a parameter in the data or the differential equation, together with a further numerical condition on the solution.Keywords
This publication has 1 reference indexed in Scilit:
- Kernel functions in the theory of partial differential equations of elliptic typeDuke Mathematical Journal, 1948