Nonlinear Functional Analysis and Applications to Elliptic PDEs
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: 30 September 2024 | Viewed by 103
Special Issue Editor
Special Issue Information
Dear Colleagues,
The application of nonlinear functional analysis in the study of nonlinear PDEs is broad-ranging. They find relevance in fields such as fluid mechanics, mathematical physics, mathematical biology, nonlinear optics, materials science, and many other areas of applied mathematics and engineering. Understanding solutions to nonlinear PDEs is often a hard task, but is useful in order to capture the intricate behaviors observed in the most diverse physical systems, ranging from atomic to stellar structures.
The aim of this Special Issue is to collect new results and surveys on elliptic partial differential equations, a class of PDEs which benefits from and contributes to the development of areas such as the calculus of variations and nonlinear functional analysis.
We welcome papers which focus on the existence, nonexistence, multiplicity, and qualitative properties (such as regularity, positivity, decay, and symmetry) of solutions, as well as their functional settings and related functional inequalities. These include, but are not limited to, the following:
- Nonlinear and/or nonlocal elliptic PDEs;
- Laplacian, fractional Laplacian, and p-Laplacian PDEs;
- Nonlinear Schroedinger equations;
- Nonlinear and noncompact elliptic problems;
- Function spaces and inequalities;
- Variational methods for systems of elliptic PDEs.
Dr. Carlo Mercuri
Guest Editor
Manuscript Submission Information
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Keywords
- nonlinear and/or nonlocal elliptic PDEs
- nonlinear Schroedinger equations
- compactness
- fractional Laplacian and p-Laplacian PDEs
- symmetry
- regularity
- functional spaces and inequalities
- variational problems
