Positive entire solutions of semilinear elliptic equations
Copyright policy )Positive entire solutions of semilinear elliptic equations
Elliptic equations of the form (*) \(\Delta u-m^ 2u+f(x,u)=0\) are considered in the entire space \(R^ n\). Conditions are given for the existence of two types of positive solutions of (*); one growing exponentially as \(| x| \to \infty\) and the other decaying to zero as \(| x| \to \infty\). Furthermore, uniqueness of decaying solutions is studied.
- DigiZeitschriften Germany
- Hiroshima University Japan
510.mathematics, positive solutions, semilinear elliptic equations, existence, General existence and uniqueness theorems (PDE), uniqueness, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Nonlinear elliptic equations, Article
510.mathematics, positive solutions, semilinear elliptic equations, existence, General existence and uniqueness theorems (PDE), uniqueness, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Nonlinear elliptic equations, Article
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