Differential and Integral Equations

Asymptotic estimates and convexity of large solutions to semilinear elliptic equations

Antonio Greco and Giovanni Porru

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Abstract

We investigate explosive solutions of the equation $\Delta u=f(u)$ in a bounded convex domain $D$. We find some asymptotic estimates and prove the log-convexity of the solution $u(x)$ under suitable conditions on $f$.

Article information

Source
Differential Integral Equations, Volume 10, Number 2 (1997), 219-229.

Dates
First available in Project Euclid: 2 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367526334

Mathematical Reviews number (MathSciNet)
MR1424808

Zentralblatt MATH identifier
0889.35028

Subjects
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc.

Citation

Greco, Antonio; Porru, Giovanni. Asymptotic estimates and convexity of large solutions to semilinear elliptic equations. Differential Integral Equations 10 (1997), no. 2, 219--229. https://projecteuclid.org/euclid.die/1367526334


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