The existence of large solutions of semilinear elliptic equations with negative exponents |
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Authors: | Lei Wei |
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Institution: | School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, PR China |
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Abstract: | In this work, we consider semilinear elliptic equations with boundary blow-up whose nonlinearities involve a negative exponent. Combining sub- and super-solution arguments, comparison principles and topological degree theory, we establish the existence of large solutions. Furthermore, we show the existence of a maximal large positive solution. |
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Keywords: | 35J55 35B40 |
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