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Two positive solutions for a nonlinear four-point boundary value problem with a p-Laplacian operator [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper, we study the existence of positive solutions for a nonlinear four-point boundary value problem with a $p$-Laplacian operator. By using a three functionals fixed point theorem in a cone, the existence of double positive solutions for the ...
Ruixi Liang, Jun Peng, Jianhua Shen
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Eigenvalues homogenization for the fractional $p-$Laplacian operator [PDF]
, 2013 In this work we study the homogenization for eigenvalues of the fractional $p-$Laplace in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates.
Salort, Ariel M.
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Boundary eigencurve problems involving the p-Laplacian operator
Electronic Journal of Differential Equations, 2008 In this paper, we show that for each $lambda in mathbb{R}$, there is an increasing sequence of eigenvalues for the nonlinear boundary-value problem $$displaylines{ Delta_pu=|u|^{p-2}u quad hbox{in } Omegacr | abla u|^{p-2}frac{partial u}{partial
Mohammed Ouanan, Abdelouahed El Khalil
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Nonlinear elastic membranes involving the p-Laplacian operator
Electronic Journal of Differential Equations, 2006 This paper concerns an optimization problem related to the Poisson equation for the p-Laplace operator, subject to homogeneous Dirichlet boundary conditions.
Fabrizio Cuccu +2 more
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Spectrum of one dimensional p-Laplacian operator with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2002 This paper is concerned with the nonlinear boundary eigenvalue problem $$-(|u'|^{p-2}u')'=\lambda m|u|^{p-2}u\qquad u \in I=]a,b[,\quad u(a)=u(b)=0,$$ where $p>1$, $\lambda$ is a real parameter, $m$ is an indefinite weight, and $a$, $b$ are real numbers.
Mohammed Moussa, A. Anane, Omar Chakrone
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Nonlinear Analysis, 2022 In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic ...
Wenwen Hou, Lihong Zhang
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Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator
Cubo, 2022 In this paper we establish some results of existence of infinitely many solutions for an elliptic equation involving the p-biharmonic and the p-Laplacian operators coupled with Navier boundary conditions where the nonlinearities depend on two real ...
Filippo Cammaroto
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A problem involving the p-Laplacian operator [PDF]
Differential Equations & Applications, 2017 Using a variational technique we guarantee the existence of a solution to the \emph{resonant Lane-Emden} problem $- _p u= |u|^{q-2}u$, $u|_{\partial }=0$ if and only if a solution to $- _p u= |u|^{q-2}u+f$, $u|_{\partial }=0$, $f\in L^{p'}( )$ ($p'$ being the conjugate of $p$), exists for $q\in (1,p)\bigcup (p,p^{*})$ under a certain condition ...
Giri, Ratan Kr., Choudhuri, D.
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Maximal operators for the p-Laplacian family [PDF]
Pacific Journal of Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blanc, Pablo +2 more
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Radial symmetry for a generalized nonlinear fractional p-Laplacian problem
Nonlinear Analysis, 2021 This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou +3 more
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