Generalized critical Kirchhoff-type potential systems with Neumann Boundary conditions

Uniqueness and stability analysis to a system of nonlocal partial differential equations related to an epidemic model

“…Our results can be regarded also as a continuation of investigation of the problem of solvability of sublinear elliptic equations, including Schrödinger equations 21–26 . Some other types of partial difference equations can be found, for example, in previous studies 27–34 . Some classical results on the solvability of partial difference equations can be found in monographs 35–39 …”

“…[21][22][23][24][25][26] Some other types of partial difference equations can be found, for example, in previous studies. [27][28][29][30][31][32][33][34] Some classical results on the solvability of partial difference equations can be found in monographs. [35][36][37][38][39] The layout of this paper is as follows.…”

The Dirichlet Problem for a Class of Anisotropic Schrödinger-Kirchhoff-Type Equations With Critical Exponent

“…, N }. For further study of problems with critical exponents, we refer the reader to [2,3,4,6,7,8,10,14,15,16,17], and the references therein.…”

Approximation of nonlocal dispersal problem with inhomogeneous kernel

“…It is known from Andreu‐Vaillo et al [4] that nonlocal diffusion equation shares many properties with the classical heat equation. Moreover, Cortazar et al [11] proved that a suitable rescaled nonlocal dispersal equation with symmetric kernel function can approximate the classical heat equation with Neumann boundary conditions; see also the recent works [12–17]. In the present paper, we study nonlocal dispersal equations with inhomogeneous kernel functions.…”