Manuscript Topics

Dear Colleagues,

The study of nonlinear equations of Kirchhoff type has been exposed to tremendous popularity since it not only involves mathematical challenges (in particular, inhomogeneity) but also presented as a model for several phenomena that arise in the research of engineering, physics and biology.

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 nonlinear equations of Kirchhoff type involving Laplacian, fractional Laplacian and double-phase operators, subject to various boundary conditions.

Contributions to the special issue may address (but are not limited) to the following aspects:

• Existence and multiplicity results;  
• Uniqueness, non-existence, classifications of solutions;  
• Regularity of solutions;  
• Elliptic problems with variable exponents;  
• Double phase problems;  
• Fractional Laplacian problems;  
• Stationary problems involving singular nonlinearities;  
• Applications to real-world phenomena.

Instruction for Authors
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Please submit your manuscript to online submission system
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