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Logarithmic Hölder continuous mappings and Beltrami equation

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0 Published in 2021 at "Analysis and Mathematical Physics"

DOI: 10.1007/s13324-021-00573-6

Abstract: The paper is devoted to the study of mappings satisfying the inverse inequality of Poletsky type. Here we have studied the case when the majorant in this inequality is integrable on some set of spheres… read more here.

Keywords: logarithmic lder; continuous mappings; equation; lder continuous ... See more keywords

Blow-up at infinity of solutions to a semilinear heat equation with logarithmic nonlinearity

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0 Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.01.059

Abstract: Abstract In this short note, the author establishes a blow-up result for a semilinear heat equation with logarithmic nonlinearity, by using the logarithmic Sobolev inequality. This improves a recent blow-up result obtained in Chen et… read more here.

Keywords: heat equation; equation logarithmic; logarithmic nonlinearity; semilinear heat ... See more keywords

Global existence and blow-up of solutions to a semilinear heat equation with logarithmic nonlinearity

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0 Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1698726

Abstract: ABSTRACT In this paper, we study the initial boundary value problem of a semilinear heat equation with logarithmic nonlinearity. By using potential well method and energy method, we obtain the existence of global solutions and… read more here.

Keywords: semilinear heat; equation logarithmic; logarithmic nonlinearity; heat equation ... See more keywords

On the Cauchy problem for the generalized double dispersion equation with logarithmic nonlinearity

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0 Published in 2024 at "Analysis"

DOI: 10.1515/anly-2023-0072

Abstract: Abstract In this paper, we investigate the global existence and finite time blow-up of solution for the Cauchy problem of one-dimensional fifth-order Boussinesq equation with logarithmic nonlinearity. Fist we prove the existence and uniqueness of… read more here.

Keywords: equation logarithmic; cauchy problem; logarithmic nonlinearity;

Qualitative analysis of solutions for a parabolic m(x)-biharmonic equation with logarithmic nonlinearity

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0 Published in 2025 at "Filomat"

DOI: 10.2298/fil2505657b

Abstract: In this paper, we consider a nonlinear parabolic m(x)-biharmonic equation with logarithmic source terms. Applying the potential well method combined with the Nehari manifold, the global existence and blow-up of weak solutions is proved. In… read more here.

Keywords: qualitative analysis; parabolic biharmonic; biharmonic equation; equation logarithmic ... See more keywords