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The Pohozaev identity for mixed local-nonlocal operators

BISWAS, ANUP (Elsevier B.V., 2026-05)

In this article we prove the Pohozaev identity for the semilinear Dirichlet problem of the form −Δu+a(−Δ)su=f(u) in Ω, and u=0 in Ωc, where a is a non-negative constant and Ω is a bounded C2 domain. We also establish similar ...
Proton conductivity in a copper(II) bipyridine glycoluril complex: The synergistic role of coordinated water and hydrogen-bonded networks.

Khatavkar, Medhavi D.; PANDAY, RISHUKUMAR; Singh, Mayank U.; Kurungot, Sreekumar; Kumbhar, Avinash S. (Elsevier B.V., 2026-05)

A dinuclear complex of copper(II) and bipyridine glycoluril (BPG) ligand is synthesized, characterized, and structurally examined by single-crystal X-ray diffraction. The complex [Cu2(BPG)2(NO3)2(H2O)4](NO3)2ꞏ5H2O (complex ...
Globally minimal defensive alliances: A parameterized perspective

GAIKWAD, AJINKYA; MAITY, SOUMEN (Elsevier B.V., 2026-05)

A defensive alliance in an undirected graph G=(V,E) is a non-empty set S⊆V such that every vertex v∈S has at least as many neighbours (including itself) in S as it has in V∖S. In this paper, we consider the notion of global ...

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