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Doubly Nonlinear Nonlocal Stationary Problems of Leray-Lions Type with Nonlinear Boundary Conditions
Let \([X,\mathcal {B},m,\nu ]\) be a reversible random walk...
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Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions
We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary...
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Stochastic homogenization of nonlocal reaction–diffusion problems of gradient flow type
In this paper we study the stochastic homogenization of reaction–diffusion problems whose the diffusion terms are gradients of random nonlocal convex...
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Boundary value problems with bounded ϕ-Laplacian and nonlocal conditions of integral type
We study the existence of solutions to nonlinear boundary value problems for second order quasilinear ordinary differential equations involving...
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Mixed Anisotropic and Nonlocal Sobolev Type Inequalities with Extremal
We establish mixed anisotropic and nonlocal Sobolev type inequalities with an extremal. We show that the extremal function is unique up to a...
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Variable exponent q(m)-Kirchhoff-type problems with nonlocal terms and logarithmic nonlinearity on compact Riemannian manifolds
We study a nonlinear q ( m )-Kirchhoff-type problems under Dirichlet boundary condition with nonlocal terms and logarithmic nonlinearity, in the setting...
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Kirchhoff type mixed local and nonlocal elliptic problems with concave–convex and Choquard nonlinearities
In this paper, making use of non-smooth variational principle, we establish the existence of solution to the following Kirchhoff type mixed local and...
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Doubly Nonlinear Nonlocal Diffusion Problems of Leray-Lions Type with Nonlinear Boundary Conditions
This chapter is concerned with the existence and uniqueness of mild solutions of nonlocal nonlinear diffusion problems.
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Fujita-type theorems for a nonlocal quasilinear parabolic differential inequality
This work is devoted to the nonexistence of nontrivial nonnegative (positive) weak solutionsfor weighted quasilinear parabolic differential...
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Multiple Solutions for a Kirchhoff-type Problem with Vanishing Nonlocal Term and Fractional p-Laplacian
The goal of the paper is to investigate a Kirchhoff-type elliptic problem driven by a generalized nonlocal fractional p -Laplacian whose nonlocal term...
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Nonlocal Boundary Value Problem for a Mixed Type Equation with Fractional Partial Derivative
We study the nonlocal boundary value problem for a mixed type equation with the Riemann–Liouville fractional partial derivative. In the hyperbolic...
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On the Solvability of a Nonlocal Problem for a Boussinesq-Type Differential Equation
AbstractWe study a nonlocal problem for a differential Boussinesq-type equations in a multidimensional domain. Conditions for the existence and...
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An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions
In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities ( LTIs ) for two classes of boundary value problems ( BVPs )...
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Approximation by Nonlocal Problems
In this Chapter we study a nonlocal counterpart of the least gradient problem, i.e. the minimization of the functional...
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Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type
A mathematical model of the process of heat diffusion in a closed metal wire is considered. This wire is wrapped around a thin sheet of insulation...
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On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition
The objective of this article is to investigate the existence of a weak solution to a class of nonlocal-type problem with Neumann boundary condition,...
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Solitary traveling waves in Fermi-Pasta-Ulam-type systems with nonlocal interaction on a 2D lattice
The article deals with the Fermi-Pasta-Ulam-type systems that describe an infinite system of particles with nonlocal interaction on a two-dimensional...
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Goursat-type nonlocal problem for a fourth-order loaded equation
Initial and boundary value problems for partial differential equations have been sufficiently studied. However, it has been recently become apparent...