Manuscript Topics

Elliptic problems involving partial differential equations have become a rapidly growing area of research and received a great amount of attention in the recent decades. The study on these types of problems has not only their mathematical challenges but is also presented as a model for several phenomena that arise in the research of engineering, physics, and life sciences.

Variational and topological methods, such as, for example, variational principles, critical point theory, genus theory, Morse theory, fixed point theorems, or degree theory, have played an important role in the development of this subject. This special issue will focus on new aspects of the recent developments in the theory and applications of Laplacian equations, nonlocal problems and nonlinear problems with variable exponents, subject to various boundary conditions.

Contributions to the special issue may address (but are not limited) to the following aspects:  
• Existence and multiplicity results;  
• Regularity of solutions;  
• Elliptic problems with variable exponents;  
• Double phase problems;  
• Fractional Laplacian problems;  
• Applications to real-world phenomena.

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