Titlebook: Geometric Properties for Parabolic and Elliptic PDE‘s; Vincenzo Ferone,Tatsuki Kawakami,Futoshi Takahashi Book 2021 The Editor(s) (if appl

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Optimization of the Structural Performance of Non-homogeneous Partially Hinged Rectangular Plates, of load and we study which density function is optimal for our aims. The analysis is in accordance with some results obtained studying the corresponding eigenvalue problem in terms of maximization of the ratio of specific eigenvalues. Some numerical experiments complete the analysis.

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PSYCHOSOZIALE FUNKTION DER OSTMARKENh concave parabolic operators. We also reduce the game-theoretic argument to the viscous and inviscid Hamilton-Jacobi equations, categorizing the semiconvexity regularity of solutions in terms of semiconcavity of the Hamiltonian.

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2281-518X rrent research as follows: convexity of solutions to PDEs, qualitative properties of solutions to parabolic equations, overdetermined problems, inverse problems, Brunn-Minkowski inequalities, Sobolev inequalities, and isoperimetric inequalities..978-3-030-73365-0978-3-030-73363-6Series ISSN 2281-518X Series E-ISSN 2281-5198

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Jaakko Kuorikoski,Petri Ylikoskices. In simple situations, a new phenomenon appears: the existence of a break even surface separating masses for which symmetrization increases/decreases the Dirichlet norm. The question whether a similar phenomenon occurs in more general situations is left open.