Results 21 to 30 of about 35,592 (307)
Applied Mathematics Letters, 1997 We prove that for λ ≥ 0, p ≥ 3, there exists an open ball B ⊂ L2(0,1) such that the problem − (|u′|p−2 u′)′ − λ|u|p−2u = f, in (0,1) , subject to certain separated boundary conditions on (0,1), has a solution for f ∈ B.
Yin Xi Huang +2 more
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A strong comparison principle for the $p$-Laplacian [PDF]
Proceedings of the American Mathematical Society, 2007 We consider weak solutions of the differential inequality of p-Laplacian type - Δpu - f(u) ≤-Δpv - f(v) such that u p - 1.
ROSELLI, PAOLO, Sciunzi, B.
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Regularizing effect for some p-Laplacian systems [PDF]
, 2019 We study existence and regularity of weak solutions for the following $p$-Laplacian system \begin{cases} -\Delta_p u+A\varphi^{\theta+1}|u|^{r-2}u=f, \ &u\in W_0^{1,p}(\Omega),\\-\Delta_p \varphi=|u|^r\varphi^\theta, \ &\varphi\in W_0^{1,p}(\Omega), \end{
Durastanti, Riccardo
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On Critical p-Laplacian Systems
Advanced Nonlinear Studies, 2017 We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
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Mathematical Biosciences and Engineering, 2021 In this paper, we study the initial boundary value problem for a class of fractional p-Laplacian Kirchhoff type diffusion equations with logarithmic nonlinearity.
Peng Shi +3 more
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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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Limit of p-Laplacian Obstacle problems
, 2020 In this paper we study asymptotic behavior of solutions of obstacle problems for $p-$Laplacians as $p\to \infty.$ For the one-dimensional case and for the radial case, we give an explicit expression of the limit.
Capitanelli, Raffaela +1 more
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On the Fučí k spectrum for the $p$-Laplacian
Differential and Integral Equations, 2001 n ...
MICHELETTI, ANNA MARIA, A. PISTOIA
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Eigenvalues for a nonlocal pseudo $p-$Laplacian [PDF]
Discrete and Continuous Dynamical Systems, 2016 In this paper we study the eigenvalue problems for a nonlocal operator of order $s$ that is analogous to the local pseudo $p-$Laplacian. We show that there is a sequence of eigenvalues $ _n \to \infty$ and that the first one is positive, simple, isolated and has a positive and bounded associated eigenfunction.
del Pezzo, Leandro Martin +1 more
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On the uniqueness of eigenfunctions for the vectorial p-Laplacian
Archiv der Mathematik, 2023 AbstractWe study a nonlinear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.
Ryan Hynd, Bernd Kawohl, Peter Lindqvist
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