On the stability and instability of positive steady states of a semilinear heat equation in ℝ^<i>n</i>

Multidimensional nonlinear diffusion arising in population genetics

D. G. Aronson, Hans F. Weinberger · Advances in Mathematics · 1978 · 1.9K citations

Life Sciences, Biology, Genetics +14

Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Luis Caffarelli, Basilis Gidas, Joel Spruck · Communications on Pure and Applied Mathematics · 1989 · 1.3K citations

Natural Sciences, Earth Sciences, Dynamical Systems +13

Classification of solutions of some nonlinear elliptic equations

Wenxiong Chen, Congming Li · Duke Mathematical Journal · 1991 · 996 citations

Natural Sciences, Mathematics, Differential Equations +8

The Role of Critical Exponents in Blowup Theorems

Howard A. Levine · SIAM Review · 1990 · 805 citations

Natural Sciences, Mathematics, Physics +16

Existence and non-existence of global solutions for a semilinear heat equation

Fred B. Weissler · Israel Journal of Mathematics · 1981 · 604 citations

Natural Sciences, Mathematics, Mechanical Engineering +13