Results 11 to 20 of about 31,104 (274)
A p-Laplacian supercritical Neumann problem
, 2016 For $p>2$, we consider the quasilinear equation $-\Delta_p u+|u|^{p-2}u=g(u)$ in the unit ball $B$ of $\mathbb R^N$, with homogeneous Neumann boundary conditions.
Colasuonno, Francesca, Noris, Benedetta
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Asymmetric critical fractional p-Laplacian problems
Electronic Journal of Differential Equations, 2017 We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
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Eigenvalue problems with p-Laplacian operators
Electronic Journal of Differential Equations, 2014 In this article, we study eigenvalue problems with the p-Laplacian operator: $$ -(|y'|^{p-2}y')'= (p-1)(\lambda\rho(x)-q(x))|y|^{p-2}y \quad \text{on } (0,\pi_{p}), $$ where p>1 and $\pi_{p}\equiv 2\pi/(p\sin(\pi/p))$.
Yan-Hsiou Cheng
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Nodal properties for p-Laplacian systems
Electronic Journal of Differential Equations, 2017 We consider a system of differential equations involving the p-Laplacian. We prove the existence of oscillatory solutions with prescribed numbers of zeros, and show that the solutions satisfy the Dirichlet boundary conditions when the large parameters
Yan-Hsiou Cheng, Wei-Chuan Wang
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INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN [PDF]
Проблемы анализа, 2013 Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions.
VUORINEN M, BHAYO B. A
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Introducing the p-Laplacian spectra [PDF]
Signal Processing, 2020 In this work we develop a nonlinear decomposition, associated with nonlinear eigenfunctions of the p-Laplacian for p \in (1, 2). With this decomposition we can process signals of different degrees of smoothness. We first analyze solutions of scale spaces, generated by -homogeneous operators, \in R. An analytic solution is formulated when the scale
Ido Cohen, Guy Gilboa
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Asymmetric critical p-Laplacian problems [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We obtain nontrivial solutions for two types of critical $p$-Laplacian problems with asymmetric nonlinearities in a smooth bounded domain in ${\mathbb R}^N,\, N \ge 2$. For $p < N$, we consider an asymmetric problem involving the critical Sobolev exponent $p^\ast = Np/(N - p)$.
Perera, Kanishka +2 more
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, 2023 We generalise the dynamic Laplacian introduced in (Froyland, 2015) to a dynamic $p$-Laplacian, in analogy to the generalisation of the standard $2$-Laplacian to the standard $p$-Laplacian for $p>1$. Spectral properties of the dynamic Laplacian are connected to the geometric problem of finding "coherent" sets with persistently small boundaries under ...
de Diego Unanue, Alvaro +3 more
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, 2023 $p$-Laplacian regularization, rooted in graph and image signal processing, introduces a parameter $p$ to control the regularization effect on these data. Smaller values of $p$ promote sparsity and interpretability, while larger values encourage smoother solutions.
Nguyen, Tuan +3 more
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Hölder regularity for parabolic fractional p-Laplacian. [PDF]
Calc Var Partial Differ Equ, 2023 AbstractLocal Hölder regularity is established for certain weak solutions to a class of parabolic fractional p-Laplace equations with merely measurable kernels. The proof uses DeGiorgi’s iteration and refines DiBenedetto’s intrinsic scaling method. The control of a nonlocal integral of solutions in the reduction of oscillation plays a crucial role and ...
Liao N.
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