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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…
Schatten-von Neumann classes of tensors of invariant operators
Julio Delgado, Liliana Posada, Michael Ruzhansky
In this work we study Schatten-von Neumann classes of tensor products of invariant operators on Hilbert spaces. In the first part we first deduce some spectral properties for tenso…
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 wher…
Besov and Triebel-Lizorkin spaces on homogeneous groups
Guorong Hu, David Rottensteiner, Michael Ruzhansky +1
This paper develops a theory of Besov spaces and Triebel-Lizorkin spaces on an arbitrary homogeneous group for the…