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Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation - MaRDI portal

Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation (Q1728026)

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Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation
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    Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation (English)
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    21 February 2019
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    The authors investigate the behavior of sequences of solutions of homogeneous Dirichlet problems in the plane with critical Moser-Trudinger type nonlinearities. It is shown the existence of a sequence of exponentially critical nonlinearities whose corresponding sequence of solutions has a nontrivial weak limit.
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    Laplacian
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    semilinear equation
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    Dirichlet problem
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    Moser-Trudinger nonlinearities
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