Semilinear elliptic problems in annular domains
Copyright policy )Semilinear elliptic problems in annular domains
The authors consider the problem \[ \Delta u+f(u)=0\quad in\quad {\mathbb{R}}_ 1<| x| <{\mathbb{R}}_ 0,\quad x\in {\mathbb{R}}^ N,\quad N\geq 3 \] with Dirichlet or mixed Dirichlet and Neumann boundary conditions. After a change of the variables the problem becomes \[ u''+t^{\alpha}f(u)=0,\quad t_ 0
- Argonne National Laboratory United States
- University of Basel Switzerland
positive solutions, Nonlinear boundary value problems for ordinary differential equations, reduction to an ordinary differential, Nonlinear boundary value problems for linear elliptic equations, semilinear Laplace equation, existence, uniqueness, equation, shooting methods
positive solutions, Nonlinear boundary value problems for ordinary differential equations, reduction to an ordinary differential, Nonlinear boundary value problems for linear elliptic equations, semilinear Laplace equation, existence, uniqueness, equation, shooting methods
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