Nonradial large solutions of sublinear elliptic problems |
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Authors: | Khalifa El Mabrouk Wolfhard Hansen |
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Institution: | aDepartment of Mathematics, Faculty of Sciences of Monastir, 5019 Monastir, Tunisia;bFakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany |
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Abstract: | Let p be a nonnegative locally bounded function on , N3, and 0<γ<1. Assuming that the oscillation sup|x|=rp(x)−inf|x|=rp(x) tends to zero as r→∞ at a specified rate, it is shown that the equation Δu=p(x)uγ admits a positive solution in satisfying lim|x|→∞u(x)=∞ if and only if |
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Keywords: | Large solution Semilinear Dirichlet problem Greenian domain Green function |
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