Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
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Given a bounded open regular set Ω of ℝ2$\mathbb {R}^2$, q1,...,qK∈Ω${q_1, \ldots , q_K \hspace*{-0.85358pt}\in \hspace*{-0.85358pt} \Omega }$, a regular bounded function ϱ:Ω→[0,+∞)${\varrho \hspace*{-0.56905pt}:\hspace*{-0.56905pt} \Omega \hspace*{-0 ...
Baraket Sami, Ouni Taieb
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Connections between coupling and Ishii-Lions methods for tug-of-war with noise stochastic games
We present a streamlined account of two different regularity methods as well as their connections. We consider the coupling method in the context of tug-of-war with noise stochastic games, and consider viscosity solutions of the p-Laplace equation in the
Anttila Riku +2 more
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Variational formulations of steady rotational equatorial waves
When the vorticity is monotone with depth, we present a variational formulation for steady periodic water waves of the equatorial flow in the f-plane approximation, and show that the governing equations for this motion can be obtained by studying ...
Chu Jifeng, Escher Joachim
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Solutions of nonlinear problems involving p(x)-Laplacian operator
In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
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Liouville's type results for singular anisotropic operators
We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo +2 more
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Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems. [PDF]
Cheng B.
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Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian. [PDF]
Qu M, Yang L.
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Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]
Shen L.
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The interior curvature bounds for a class of curvature quotient equations
For elliptic partial differential equations, the pure interior C 2 estimates and Pogorelov type estimates are important issues. In this paper, we study the interior estimates of Γk̃ $\tilde {{{\Gamma}}_{k}}$ -admissible solutions for curvature quotient ...
Jia Haohao
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