Search results for "Prescribed curvature problem"

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A double mean field equation related to a curvature prescription problem

2019

We study a double mean field-type PDE related to a prescribed curvature problem on compacts surfaces with boundary. We provide a general blow-up analysis, then a Moser-Trudinger inequality, which gives energy-minimizing solutions for some range of parameters. Finally, we provide existence of min-max solutions for a wider range of parameters, which is dense in the plane if $��$ is not simply connected.

Blow–up analysiPlane (geometry)Applied Mathematics010102 general mathematicsMathematics::Analysis of PDEs35J20 58J32Boundary (topology)Unit normal vectorCurvature01 natural sciencesConformal metric010101 applied mathematicsMathematics - Analysis of PDEsVariational methodsMean field equationSimply connected spaceFOS: Mathematics0101 mathematicsPrescribed curvature problemAnalysisMathematical physicsMathematicsAnalysis of PDEs (math.AP)
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