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Anisotropic degenerate elliptic problem with singular gradient lower order term
In this paper, we investigate the existence and regularity results of anisotropic elliptic equations with degenerate coercivity and a singular lower...
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Nonlinear degenerate p(x)-Laplacian equation with singular gradient and lower order term
The present paper aims to study the Dirichlet problem for a nonlinear degenerate elliptic equation with singular gradient lower order term, we...
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Existence of renormalized solutions to a nonlinear parabolic boundary value problem with a singular lower order term and a nonhomogeneous datum
We study existence and uniqueness results for nonlinear parabolic equations with possibly singular lower order term and nonregular datum of the the...
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The impact of a singular first-order term in some degenerate elliptic equations involving Hardy potential
In this paper, we study the regularizing effects of a singular first-order term in some degenerate elliptic equations with zero-order term involving...
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Existence of Positive Solutions for a Singular Hessian Equation with a Negative Augmented Term
In this paper, we focus on the existence of positive solutions for a singular Hessian equation with a negative augmented term. By finding more...
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High-order corrected trapezoidal rules for a class of singular integrals
We present a family of high-order trapezoidal rule-based quadratures for a class of singular integrals, where the integrand has a point singularity....
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A Randomized Singular Value Decomposition for Third-Order Oriented Tensors
The oriented singular value decomposition (O-SVD) proposed by Zeng and Ng provides a hybrid approach to the t-product-based third-order tensor...
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Nonlinear acoustic equations of fractional higher order at the singular limit
When high-frequency sound waves travel through media with anomalous diffusion, such as biological tissues, their motion can be described by nonlinear...
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Nonlinear evolution problems with singular coefficients in the lower order terms
We consider a Cauchy–Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We...
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On Deviations of Meromorphic Minimal Surfaces of Finite Lower Order
This paper is devoted to the development of Beckenbach’s theory of meromorphic minimal surfaces. We get an estimate of the sum of Petrenko’s...
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Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
In the article, we present multiple solutions for a second-order singular Dirichlet boundary value problem that arises when modeling the ocean flow...
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Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms
AbstractWe consider the first boundary value problem in a rectangular domain for an inhomogeneous fourth-order differential equation with...
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Existence and regularity results for some nonlinear singular parabolic problems with absorption terms
In this paper, we prove the existence of a nonnegative solution to nonlinear parabolic problems with two absorption terms and a singular lower order...
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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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Crank–Nicolson Schemes for Sub-Diffusion Equations with Nonsingular and Singular Source Terms in Time
In this work, two Crank–Nicolson schemes without corrections are developed for sub-diffusion equations. First, we propose a Crank–Nicolson scheme...
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Existence and multiplicity of solutions for a singular anisotropic problem with a sign-changing term
In this paper we investigate the existence and multiplicity of solutions for a class of singular anisotropic problems involving a weight and a term...
