5 papers · 1 filter
Mixed local-nonlocal quasilinear problems with mixed interpolated Hardy potential
Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar +1
This paper addresses the existence of nontrivial solutions to a class of mixed local-nonlocal problems involving a mixed interpolated Hardy potential. We first establish a concentr…
Spectral analysis, maximum principles and shape optimization for nonlinear superposition operators of mixed fractional order
Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar +1
The main objective of this paper is to investigate the spectral properties, maximum principles, and shape optimization problems for a broad class of nonlinear ``superposition opera…
Kernel estimates and weak (1,1)-boundedness of pseudo-differential operators on compact Lie groups
Duván Cardona, Rafik Yeghoyan, Michael Ruzhansky
Given a compact Lie group and its unitary dual , we establish the weak (1,1) continuity for pseudo-differential operators in the global Hörmander classes of order…
The weak (1,1) boundedness of Fourier integral operators with complex phases
Duván Cardona, Michael Ruzhansky
Let be a Fourier integral operator of order associated with a canonical relation locally parametrised by a real-phase function. A fundamental result due to Seeger, S…
Brezis-Nirenberg type problems associated with nonlinear superposition operators of mixed fractional order
Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar +1
This paper aims to study the Brezis-Nirenberg type problem driven by the nonlinear superposition of operators of the form w…