Results 31 to 40 of about 31,104 (274)
Asymptotic regularity for p-Laplacian equation
Journal of Mathematical Physics, 2010 This paper is devoted to proving some asymptotic regularity of the solutions of the p-Laplacian equation ut−div(|∇u|p−2∇u)+f(u)=g(x) (p∊(2,N)) considered on a bounded domain Ω⊂RN(N≥3). The nonlinear term f satisfies the polynomial growth condition of arbitrary order c1|u|q−k≤f(u)u≤c2|u|q+k, where q≥2 is arbitrary.
Liu, Yuewei, Yang, Lu, Zhong, Chengkui
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Nonlinear commutators for the fractional p-Laplacian and applications [PDF]
, 2015 We prove a nonlocal, nonlinear commutator estimate concerning the transfer of derivatives onto testfunctions. For the fractional $p$-Laplace operator it implies that solutions to certain degenerate nonlocal equations are higher differentiable. Also, weak
Schikorra, Armin
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Communications on Pure & Applied Analysis, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nontrivial solutions for p-Laplacian systems
Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai, D.D., Wang, Haiyan
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Resonance Problems for the p-Laplacian
Journal of Functional Analysis, 1999 Using variational arguments the authors prove the existence of a weak solution for the boundary value problem \[ \begin{cases} -\Delta_p u-\lambda|u|^{p-2}u+f(x,u)=0\quad&\text{in }\Omega,\\ u=0\quad&\text{on }\partial\Omega,\end{cases} \] where \(\Delta_p u=\)div\((|Du|^{p-2}Du)\), \(p>1\), \(\Omega\) is a bounded domain of \(\mathbb R^N\), \(\lambda ...
Drábek, Pavel, Robinson, Stephen B.
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Applied Mathematics Letters, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binding, P. A. +2 more
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Hypergraph $p$-Laplacian: A Differential Geometry View
, 2017 The graph Laplacian plays key roles in information processing of relational data, and has analogies with the Laplacian in differential geometry. In this paper, we generalize the analogy between graph Laplacian and differential geometry to the hypergraph ...
Mandic, Danilo P +2 more
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Periodic solutions for nonlocal p(t) $p(t)$-Laplacian systems
Boundary Value Problems, 2019 The purpose of this paper is to investigate the existence of periodic solutions for a class of nonlocal p(t) $p(t)$-Laplacian systems. When the nonlinear term is p+ $p^{+}$-superlinear at infinity, some new solvability conditions of nontrivial periodic ...
Shengui Zhang
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On the solutions to p-Poisson equation with Robin boundary conditions when p goes to +∞
Advances in Nonlinear Analysis, 2022 We study the behaviour, when p→+∞p\to +\infty , of the first p-Laplacian eigenvalues with Robin boundary conditions and the limit of the associated eigenfunctions.
Amato Vincenzo +3 more
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A nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-Laplacian [PDF]
, 2016 We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ the
Hein, Matthias, Tudisco, Francesco
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