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Global solutions to a higher‐dimensional system related to crime modeling

Mathematical methods in the applied sciences, 2018-11, Vol.41 (16), p.6326-6335

Freitag, Marcel

2018

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The Cauchy problem for a parabolic p-Laplacian equation with combined nonlinearities

Journal of mathematical analysis and applications, 2022-10, Vol.514 (2), p.126329, Article 126329

2022

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Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2013-01, Vol.30 (1), p.157-178

2013

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Theory of fractional hybrid differential equations

Computers & mathematics with applications (1987), 2011-08, Vol.62 (3), p.1312-1324

2011

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Numerical investigations on COVID ‐19 model through singular and non‐singular fractional operators

Numerical methods for partial differential equations, 2024-01, Vol.40 (1)

2024

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On the local existence for Hardy parabolic equations with singular initial data

Journal of mathematical analysis and applications, 2022-06, Vol.510 (2), p.126022, Article 126022

2022

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Global weak solutions in a three-dimensional chemotaxis–Navier–Stokes system

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2016-09, Vol.33 (5), p.1329-1352

Winkler, Michael

2016

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Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction–diffusion equations with delay

Computers & mathematics with applications (1987), 2019-09, Vol.78 (6), p.1811-1818

2019

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Existence and uniqueness of nontrivial radial solutions for k-Hessian equations

Journal of mathematical analysis and applications, 2020-12, Vol.492 (1), p.124439, Article 124439

Zhang, Xuemei

2020

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Critical mass on the Keller-Segel system with signal-dependent motility

Proceedings of the American Mathematical Society, 2020-11, Vol.148 (11), p.4855-4873

2020

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Constant sign solutions for double phase problems with superlinear nonlinearity

Nonlinear analysis, 2020-06, Vol.195, p.111739, Article 111739

2020

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Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection

SIAM journal on applied mathematics, 2019-01, Vol.79 (5), p.1990-2010

2019

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Potential well method for p(x)-Laplacian equations with variable exponent sources

Nonlinear analysis: real world applications, 2020-12, Vol.56, p.103155, Article 103155

2020

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Analysis and some applications of a regularized Ψ–Hilfer fractional derivative

Journal of computational and applied mathematics, 2022-12, Vol.415, p.114476, Article 114476

2022

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Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting

SIAM journal on mathematical analysis, 2021-01, Vol.53 (1), p.973-1003

2021

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Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem

Mathematical methods in the applied sciences, 2019-12, Vol.42 (18), p.6706-6732

2019

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Boundedness in a nonlinear attraction-repulsion Keller–Segel system with production and consumption

Journal of mathematical analysis and applications, 2021-12, Vol.504 (2), p.125428, Article 125428

2021

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Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces

Nonlinear analysis, 2011-10, Vol.74 (15), p.4889-4897

2011

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Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent

Nonlinear analysis, 2021-12, Vol.213, p.112505, Article 112505

2021

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Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2020-11, Vol.37 (6), p.1299-1343

2020

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Keller-Segel Chemotaxis Models: A Review

Acta applicandae mathematicae, 2021-02, Vol.171 (1), Article 6

2021

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Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities

SIAM journal on mathematical analysis, 2015-01, Vol.47 (4), p.3092-3115

Winkler, Michael

2015

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Existence and non-existence of minimal graphs

Journal de mathématiques pures et appliquées, 2023-11, Vol.179, p.391-424

2023

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On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2022-08, Vol.152 (4), p.989-1031

2022

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Global solution and blow-up for a class of pseudo p-Laplacian evolution equations with logarithmic nonlinearity

Computers & mathematics with applications (1987), 2017-05, Vol.73 (9), p.2076-2091

2017

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Global solutions to a higher‐dimensional system related to crime modeling

The Cauchy problem for a parabolic p-Laplacian equation with combined nonlinearities

Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion

Theory of fractional hybrid differential equations

Numerical investigations on COVID ‐19 model through singular and non‐singular fractional operators

On the local existence for Hardy parabolic equations with singular initial data

Global weak solutions in a three-dimensional chemotaxis–Navier–Stokes system

Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction–diffusion equations with delay

Existence and uniqueness of nontrivial radial solutions for k-Hessian equations

Critical mass on the Keller-Segel system with signal-dependent motility

Constant sign solutions for double phase problems with superlinear nonlinearity

Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection

Potential well method for p(x)-Laplacian equations with variable exponent sources

Analysis and some applications of a regularized Ψ–Hilfer fractional derivative

Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting

Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem

Boundedness in a nonlinear attraction-repulsion Keller–Segel system with production and consumption

Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces

Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent

Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium

Keller-Segel Chemotaxis Models: A Review

Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities

Existence and non-existence of minimal graphs

On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative

Global solution and blow-up for a class of pseudo p-Laplacian evolution equations with logarithmic nonlinearity

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