Solvability of some nonlinear elliptic problems
Copyright policy )Solvability of some nonlinear elliptic problems
The author investigates the solvability condition for the following nonlinear Dirichlet boundary value problems: \[ \Delta u=f(x,u)\quad in\quad \Omega;\quad u=\phi (x)\quad on\quad \partial \Omega \] by means of the upper and lower solutions. In particular she gives also the conditions for nonexistence of the real solutions of this boundary value problem.
- Energy Institute United Kingdom
nonexistence, Nonlinear boundary value problems for linear elliptic equations, General existence and uniqueness theorems (PDE), upper and lower solutions, nonlinear Dirichlet boundary value problems, solvability
nonexistence, Nonlinear boundary value problems for linear elliptic equations, General existence and uniqueness theorems (PDE), upper and lower solutions, nonlinear Dirichlet boundary value problems, solvability
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