Entire Large Solutions of Semilinear Elliptic Equations of Mixed Type
Document Type
Article
Publication Date
9-2009
Abstract
We prove existence and nonexistence of nonnegative entire large solutions for the semilinear elliptic equation Δu=p(x)f(u)+q(x)g(u) in which f and g are nondecreasing and vanish at the origin. The locally Hölder continuous functions p and q are nonnegative. We extend results previously obtained for special cases of f and g.
DOI
10.3934/cpaa.2009.8.1607
Source Publication
Communications on Pure and Applied Analysis
Recommended Citation
V. Lair, A., & Mohammed, A. (2009). Entire large solutions of semilinear elliptic equations of mixed type. Communications on Pure & Applied Analysis, 8(5), 1607–1618. https://doi.org/10.3934/cpaa.2009.8.1607
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