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On the Sum of Operators of $p$-Laplacian Types

Communications in Mathematical Analysis and Applications
Summary: The goal of this paper is to study operators sum of \(p\)-Laplacian type operators. We address the problems of existence and uniqueness of solutions, this last point leading to some challenging issues in the case of quasilinear combinations of such \(p\)-Laplacians.
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A singular ABC-fractional differential equation with p-Laplacian operator

Chaos, Solitons & Fractals, 2019
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Hasib Khan   +3 more
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Bifurcation phenomena associated to a class of p -Laplacian like operators

manuscripta mathematica, 2002
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Fukagai, Nobuyoshi, Narukawa, Kimiaki
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TOPOLOZICAL DERIVATIVE OF THE FRACTIONAL $p$-LAPLACIAN OPERATORS

Advances in Mathematics: Scientific Journal
The objective of this article is the study of topological optimization problems with p-Laplacian operators, i.e. $(-\Delta)_p^s$ where $0<s<1$ and $p\geq2.$ In [22], we began studying this problem to determine the shape derivative. In the same paper, we studied existence results using s-gamma convergence.
M. Fall   +4 more
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Research on the existence of solution of equation involving p-laplacian operator

Applied Mathematics-A Journal of Chinese Universities, 2006
The authors show that if \(f\in L^p(\Omega),\) then under some certain hypotheses, the problem \[ \begin{cases} -\Delta_{p}u+\left| u(x)\right| ^{p-2}u(x) +g(x,u(x)) =f(x) &\text{ a.e.\;on }\Omega,\\ -\langle\nu,\left| \nabla u\right| ^{p-2}\nabla u\rangle\in\beta_x ( u(x)) &\text{ a.e.\;on }\partial\Omega, \end{cases} \] has a solutions in \(L^p ...
Wei, Li, Zhou, Haiyun
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A multiplicity theorem for hemivariational inequalities with a p -Laplacian-like differential operator

Nonlinear Analysis: Theory, Methods & Applications, 2008
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Papageorgiou, Nikolaos   +2 more
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Multiple solutions of weakly-coupled systems with p-laplacian operators

Results in Mathematics, 1999
The first part of this paper deals with the autonomous problem \[ (\varphi(u'))'+g(u)=0,\quad u'(0)=0,\quad u'(1)=0. \tag{1} \] Here, \(\varphi\) is an odd homeomorphism asymptotic to a q-Laplacian at the origin and to a p-Laplacian at infinity. The function \(g\) is locally Lipschitzian and such that \(g(u)u >0\) for all \(u\neq 0\).
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The propagation of a flame front with a p-Laplacian operator

Waves in Random and Complex Media, 2023
Saeed ur Rahman   +1 more
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On some geometrical eigenvalue inverse problems involving the p-Laplacian operator

Computational and Applied Mathematics
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Abdelkrim Chakib, Ibrahim Khalil 0002
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