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The boundary value problem for nonlinear elliptic equations in annular domains. (Chinese. English summary) Zbl 0973.35082

Summary: We establish the existence of positive radial symmetric solutions of Dirichlet (Dirichlet-Neumann) boundary-value problems for the equation \(\Delta u+f(|x|,u)= 0\) in an annular domain.

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
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