Nonlinear elliptic and parabolic equations and related functional inequalities
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Bernhard Ruf
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Accademia di Scienze e Lettere - Istituto Lombardo
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Italy
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Federica Sani
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University of Modena and Reggio Emilia
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Italy
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Futoshi Takahashi
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Osaka Metropolitan University
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Japan
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Introduction:
| | This Special Session will be focused on recent advances in the analysis of qualitative properties of solutions to nonlinear elliptic and parabolic equations. Key topics include existence, non-existence, uniqueness, non-uniqueness and multiplicity of solutions, as well as asymptotic behavior, blow-up, singularity formation and bubbling phenomena. Special attention will be given to the use of critical and limiting inequalities as a fundamental tool to refine the understanding of nonlinear equations. Indeed, the analysis of these equations within the Calculus of Variations is profoundly related to the development of sharp inequalities describing subtle relations between functional spaces. We hope to encourage vital discussions between researchers from Real Analysis and PDEs, fostering collaborations and connections.
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