Stable solutions of -Delta u = f(u) in R^N
classification
🧮 math.AP
keywords
solutionsstablecompactconvexdeltaellipticentireeuclidean
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The paper proves Liouville-type results for stable solutions of semilinear elliptic PDEs with convex nonlinearity, posed on the entire Euclidean space. Extensions to solutions which are stable outside a compact set are also presented.
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