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math.AP2026
Existence of solutions to four-dimensional Kirchhoff problems with critical-concave nonlinearities
Giovanni Anello, Luca Vilasi
We deal with a Kirchhoff problem on a smooth bounded domain of with competing critical and concave terms. By using new approximation techniques and the Nehari manifo…
math.AP2024
Positive solutions for a weighted critical problem with mixed boundary conditions
Alejandro Ortega, Luca Vilasi, Youjun Wang
We analyze the existence and multiplicity of positive solutions to a nonlocal elliptic problem involving the spectral fractional Laplace operator endowed with homogeneous mixed Dir…
math.AP2024
Positive solutions for a Kirchhoff problem of Brezis-Nirenberg type in dimension four
Giovanni Anello, Luca Vilasi
We consider a Kirchhoff problem of Brezis-Nirenberg type in a smooth bounded domain of with Dirichlet boundary conditions. Our approach, novel in this framework and…