On the Elliptic Equation ...u + K(x)e2u = 0 and Conformal Metrics with Prescribed Gaussian Curvatures..
Diffusion and cross-diffusion in pattern formation
We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.
On the structure of the conformal Gaussian curvature equation on R2. II.
On the elliptic equation
Multiple clustered layer solutions for semilinear Neumann problems on a ball
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