Results 21 to 30 of about 5,593 (259)

On the geometry of the $p$-Laplacian operator

open access: yes, 2016
15 pages, 5 figures, Survey lecture given at the WIAS conference "Theory and Applications of Partial Differential Equations" in Dec ...
Kawohl, Bernd, Horák, Jiří
openaire   +2 more sources

An asymptotic expansion for the fractional p-Laplacian and for gradient-dependent nonlocal operators [PDF]

open access: yesCommunications in Contemporary Mathematics, 2021
Mean value formulas are of great importance in the theory of partial differential equations: many very useful results are drawn, for instance, from the well-known equivalence between harmonic functions and mean value properties. In the nonlocal setting of fractional harmonic functions, such an equivalence still holds, and many applications are ...
Bucur C., Squassina M.
openaire   +4 more sources

Superlinear Ambrosetti–Prodi problem for the p-Laplacian operator [PDF]

open access: yesNonlinear Differential Equations and Applications NoDEA, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

$p$-Laplacian Operators on Hypergraphs

open access: yes, 2023
Master's thesis, 132 pages 0 ...
openaire   +2 more sources

Non-Lipschitz heterogeneous reaction with a p-Laplacian operator

open access: yesAIMS Mathematics, 2022
<abstract><p>The intention along this work is to provide analytical approaches for a degenerate parabolic equation formulated with a p-Laplacian operator and heterogeneous non-Lipschitz reaction. Firstly, some results are discussed and presented in relation with uniqueness, existence and regularity of solutions.
openaire   +3 more sources

Nonlinear Boundary Value Problems Involving the p-Laplacian and p-Laplacian-Like Operators

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2005
We study nonlinear boundary value problems for systems driven by the vector p-Laplacian or p-Laplacian-like operators and having a maximal monotone term. We consider periodic problems and problems with nonlinear boundary conditions formulated in terms of maximal monotone operators.
Evgenia H. Papageorgiou   +1 more
openaire   +2 more sources

Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem

open access: yesAxioms, 2023
The existence of at least three weak solutions to a discrete fractional boundary value problem containing a p-Laplacian operator and subject to perturbations is proved using variational methods. Some applications of the main results are presented.
Shahin Moradi   +2 more
doaj   +1 more source

Strong unique continuation of eigenfunctions for p-Laplacian operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We show the strong unique continuation property of the eigenfunctions for p-Laplacian operator in the case ...
Islam Eddine Hadi, N. Tsouli
doaj   +1 more source

Eigenvalue of Fractional Differential Equations with p-Laplacian Operator

open access: yesDiscrete Dynamics in Nature and Society, 2013
We investigate the existence of positive solutions for the fractional order eigenvalue problem with p-Laplacian operator -𝒟tβ(φp(𝒟tαx))(t)=λf(t,x(t)),  t∈(0,1),  x(0)=0,  𝒟tαx(0)=0,  𝒟tγx(1)=∑j=1m-2‍aj𝒟tγx(ξj), where 𝒟tβ,  𝒟tα,  𝒟tγ are the standard ...
Wenquan Wu, Xiangbing Zhou
doaj   +1 more source

On quasilinear parabolic equations involving weighted p-Laplacian operators [PDF]

open access: yesNonlinear Differential Equations and Applications NoDEA, 2009
The initial boundary value problem for a class of quasilinear parabolic equations involving weighted \(p\)-Laplacian operators in an arbitrary domain is considered. The conditions imposed on the nonlinearity provide global existence of solutions, but not uniqueness.
Cung The Anh, Tran Dinh Ke
openaire   +1 more source

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