Elliptic PDEs: singularities, discontinuities, and nonlinear phenomena
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Umberto Guarnotta
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Università Politecnica delle Marche
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Italy
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Salvatore Angelo Marano
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Università degli Studi di Catania
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Italy
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Introduction:
| | This special session focuses on recent advances in the study of elliptic partial differential equations, with a particular emphasis on problems exhibiting reaction terms which are singular, discontinuous, or model some nonlinear phenomena. Such types of problems naturally arise in a wide range of scientific areas, including physics, engineering, chemistry, and biology, and their solutions often exhibit complex and challenging behaviors.
Topics of interest include, but are not limited to:
- Existence, regularity and qualitative properties of solutions to elliptic equations or systems;
- Developments and new trends in variational methods;
- Set-valued analysis and fixed point theory;
- Problems with lack of compactness (problems in the whole space, critical problems, Hardy-type potentials);
- Elliptic problems with non-local behavior;
- Applications of elliptic PDEs to real-world problems.
We welcome contributions from researchers working in all areas of elliptic PDEs, including both theoretical and applied aspects.
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