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On a Class of Mixed Local and Nonlocal Semilinear Elliptic Equation with Singular Nonlinearity
In this article, we consider a combination of local and nonlocal Laplace equation with singular nonlinearities. For such mixed problems, we establish...
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ON QUALITATIVE PROPERTIES OF A SOLUTION OF ONE CLASS SINGULAR INTEGRAL EQUATIONS ON THE WHOLE LINE WITH ODD NONLINEARITY
A class of nonlinear singular integral equations on the whole line is considered. This class of equations for specific representations of...
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Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity
In this paper, we consider the existence of solutions for a boundary value problem of singular two-term fractional differential equation with delay...
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Nonlinear Degenerate Parabolic Equations with a Singular Nonlinearity
In this paper, we study the existence and regularity results for some parabolic equations with degenerate coercivity, and a singular right-hand side....
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Fractional heat equation with singular nonlinearity
Our aim in this paper is to analyze the existence and regularity of solutions for the following nonlocal parabolic problem involving the fractional...
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Doubly Singular Elliptic Equations Involving a Gradient Term: Symmetry and Monotonicity
Let u be a positive singular solution to boundary semilinear elliptic problems with a gradient term and a possibly singular nonlinearity. We prove...
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Initial boundary value problem for p-Laplacian type parabolic equation with singular potential and logarithmic nonlinearity
The aim of this paper is to utilize special skills and potential well method to deal with questions of local and global well-posedness to a nonlinear...
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Positive solutions for a class of nonlocal problems with possibly singular nonlinearity
We study a class of elliptic problems with homogeneous Dirichlet boundary condition and a nonlinear reaction term f which is nonlocal depending on...
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Lower bounds for the smallest singular values of generalized asymptotic diagonal dominant matrices
This article presents three classes of real square matrices. They are models of coefficient matrices of linearized Galerkin’s equations. These...
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Nonlocal semilinear elliptic problems with singular nonlinearity
We consider a Lazer-Mckenna-type problem involving the fractional Laplacian and singular nonlinearity. We investigate existence, regularity and...
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Anisotropic degenerate elliptic problem with a singular nonlinearity
In this paper, we study the existence and regularity results for some anisotropic elliptic equations with degenerate coercivity and a singular...
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Soliton Solutions for Coupled Nonlinear Generalized Zakharov Equations with Anti-cubic Nonlinearity Using Various Techniques
This study introduces novel exact solutions for the coupled nonlinear generalized Zakharov equations with anti-cubic nonlinearity. Utilizing a...
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Eigenvalue for a problem involving the fractional (p, q)-Laplacian operator and nonlinearity with a singular and a supercritical Sobolev growth
In this paper, we are interested in studying the multiplicity, uniqueness, and nonexistence of solutions for a class of singular elliptic eigenvalue...
