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Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem - MaRDI portal

Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem (Q2518555)

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Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem
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    Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem (English)
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    16 January 2009
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    The authors consider some mixed sublinear-superlinear critical problem extending the Brezis-Nirenberg problem. The existence of solutions is discussed. A phase plane analysis is performed in order to transform the problem into an ordinary differential equation.
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    Brezis-Norenberg problem
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    Emden-Fowler transform
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    energy functional
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    Pohozhaev identity
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