Results 11 to 20 of about 189,248 (240)

On a p(x)-Biharmonic Kirchhoff Problem with Logarithmic Nonlinearity

Mathematics
This paper is devoted to the study of a class of the p(x)-biharmonic Kirchhoff problem with logarithmic nonlinearity. With the help of the mountain pass theorem, the existence of a nontrivial weak solution to this problem is obtained.
Dongyun Pan, Changmu Chu
doaj   +2 more sources

p-biharmonic parabolic equations with logarithmic nonlinearity [PDF]

Electronic Journal of Differential Equations, 2019
We consider an initial-boundary-value problem for a class of p-biharmonic parabolic equation with logarithmic nonlinearity in a bounded domain.
Jiaojiao Wang, Changchun Liu
doaj   +3 more sources

Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity [PDF]

Nonlinear Analysis, 2018
This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity. The extended trial function scheme retrieves exact Gaussian solitary wave solutions to the model.
Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu   +2 more
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Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity

Journal of Function Spaces, 2020
In this paper, the nonlinear quasilinear elliptic problem with the logarithmic nonlinearity −div∇up−2∇u=axφpulogu+hxψpu in Ω⊂Rn was studied. By means of a double perturbation argument and Nehari manifold, the authors obtain the existence results.
Zhoujin Cui, Zisen Mao, Wen Zong, Xiaorong Zhang, Zuodong Yang   +4 more
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Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity

Journal of Function Spaces
In this work, we deal with a fourth-order parabolic equation with variable exponent logarithmic nonlinearity. We obtain the global existence and blowup solutions using the energy functional and potential well method.
Gülistan Butakın, Erhan Pişkin, Ercan Çelik   +2 more
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Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means [PDF]

, 2003
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and ...
Qi, Feng, Chen, Chao-Ping
core   +6 more sources

Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups [PDF]

, 2020
In this paper, we prove the fractional logarithmic Sobolev inequality on homogeneous groups. Also, we establish fractional logarithmic Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups.
Kassymov, A, Ruzhansky, M, Suragan, D, Suragan, Durvudkhan, Kassymov, Aidyn, Ruzhansky, Michael   +5 more
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A singular non-Newton filtration equation with logarithmic nonlinearity: global existence and blow-up

Comptes Rendus. Mécanique, 2022
In this paper, we study the initial-boundary value problem of the singular non-Newton filtration equation with logarithmic nonlinearity. By using the concavity method, we obtain the existence of finite time blow-up solutions at initial energy $J(u_0 ...
Deng, Qigang, Zeng, Fugeng, Jiang, Min
doaj   +1 more source

‐Laplacian hyperbolic equation with logarithmic nonlinearity

, 2021
In this paper, the p-Laplacian hyperbolic type equation with logarithmic nonlinearity and weak damping term are considered, where the global existence of solutions by using the potential well method is discussed.
Erhan Pişkin, Irkıl, Nazlı, Nazli Irkil, Pişkin, Erhan, Boulaaras, Salah, Salah Boulaaras   +5 more
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Logarithmic Convexity of the One-Parameter Mean Values [PDF]

, 2004
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicity of the product J(r)J(−r) with r Є R are presented. Some more general results are established.
Qi, Feng, Cheung, Wing Sum
core   +6 more sources