Results 21 to 30 of about 111,413 (237)

On Coron's problem for the p-Laplacian [PDF]

, 2014
We prove that the critical problem for the $p$-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole.
Mercuri, Carlo, Sciunzi, Berardino, Squassina, Marco   +2 more
core   +1 more source

A Variational Method for Multivalued Boundary Value Problems

Abstract and Applied Analysis, 2020
In this paper, we investigate the existence of solution for differential systems involving a ϕ−Laplacian operator which incorporates as a special case the well-known p−Laplacian operator.
Droh Arsène Béhi, Assohoun Adjé
doaj   +1 more source

Fractional p&q-Laplacian problems with potentials vanishing at infinity [PDF]

Opuscula Mathematica, 2020
In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional \(p\&q\)-Laplacian problems \[\begin{aligned} (-\Delta)_{p}^{s} u + (-\Delta)_{q}^{s} u + V(x) (|u|^{p-2}u + |u|^{q-2}u)= K(
Teresa Isernia
doaj   +1 more source

$p$-Laplacian Operators on Hypergraphs

, 2023
Master's thesis, 132 pages 0 ...
openaire   +2 more sources

Weak perturbations of the p-Laplacian [PDF]

, 2014
We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p>d and p=d and discuss the connection with Sobolev ...
Ekholm, Tomas, Frank, Rupert L., Kovarik, Hynek   +2 more
core   +3 more sources

Boundary value problem with fractional p-Laplacian operator

Advances in Nonlinear Analysis, 2016
The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
doaj   +1 more source

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
core   +2 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

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

Zeitschrift 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, Nikolaos S. Papageorgiou   +1 more
openaire   +2 more sources

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

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