Search Results - "Fleckinger, Jacqueline"
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1
Multiple principal eigenvalues for indefinite quasilinear problems
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (2023)“…In this article we study the existence of principal eigenvalues for a completely indefinite problem involving the p -Laplacian: - Δ p u + a ( x ) | u | p - 2 u…”
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2
Existence of Positive Solutions for a Nonvariational Quasilinear Elliptic System
Published in Journal of Differential Equations (20-09-2000)Get full text
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3
Variational methods for a resonant problem with the p-Laplacian in $R^N
Published in Electronic journal of differential equations (01-05-2004)“…The solvability of the resonant Cauchy problem $$ - Delta_p u = lambda_1 m(|x|) |u|^{p-2} u + f(x) quadhbox{in } mathbb{R}^N ;quad uin D^{1,p}(mathbb{R}^N), $$…”
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4
Eigenfunctions and Hardy inequalities for a magnetic Schrödinger operator in ℝ2
Published in Mathematical methods in the applied sciences (10-09-2003)“…The zero set {z∈ℝ2:ψ(z)=0} of an eigenfunction ψ of the Schrödinger operator ℒ︁V=(i∇+A)2+V on L2(ℝ2) with an Aharonov–Bohm‐type magnetic potential is…”
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5
Boundary behavior and estimates for solutions of equations containing the $p$-laplacian
Published in Electronic journal of differential equations (28-09-1999)“…We use ``Hardy-type'' inequalities to derive $L^q$ estimates for solutions of equations containing the $p$-Laplacian with $p>1$. We begin by deriving some…”
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6
Four-parameter bifurcation for a p-Laplacian system
Published in Electronic journal of differential equations (01-01-2001)“…We study a four-parameter bifurcation phenomenum arising in a system involving $p$-Laplacians: $$displaylines{ -Delta_p u = a phi_p(u)+ b phi_p(v) + f(a ,…”
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7
Asymptotic behavior of solutions for some nonlinear partial differential equations on unbounded domains
Published in Electronic journal of differential equations (01-12-2001)“…We study the asymptotic behavior of positive solutions $u$ of $$ -Delta_p u(x) = V(x) u(x)^{p-1}, quad p>1; x in Omega,$$ and related partial differential…”
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8
Ground-state positivity, negativity, and compactness for a Schrödinger operator in R N
Published in Journal of functional analysis (01-04-2007)“…We treat the Schrödinger operator A = − Δ + q ( x ) • on L 2 ( R N ) with the potential q : R N → [ q 0 , ∞ ) bounded below and satisfying some reasonable…”
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Positivity and negativity of solutions to nXn weighted systems involving the Laplace operator on R^N
Published in Electronic journal of differential equations (01-06-2012)“…We consider the sign of the solutions of a $n imes n$ system defined on the whole space $mathbb{R}^N$, $Ngeq 3$ and a weight function $ho$ with a positive part…”
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10
Semi-linear cooperative elliptic systems involving Schr{\"o}dinger operators: Groundstate positivity or negativity
Published 11-01-2019“…Rostocker Mathematisches Kolloquium, Universit{\"a}t Rostock, 2017 We study here the behavior of the solutions to a $2\times 2$ semi-linear cooperative system…”
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11
Sign of the solution to a non-cooperative system
Published 11-01-2019“…Rostocker Mathematisches Kolloquium, Universit{\"a}t Rostock, 2016 Combining the results of a recent paper by Fleckinger-Hernandez-deTh{\'e}lin [14] for a non…”
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12
Positivity and negativity of solutions to n x n weighted systems involving the laplace operator on RN
Published in Electronic journal of differential equations (15-06-2012)Get full text
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13
Ground-state positivity, negativity, and compactness for a Schrödinger operator in RN
Published in Journal of functional analysis (2007)Get full text
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14
On the fundamental eigenvalue ratio of the p-Laplacian
Published in Bulletin des sciences mathématiques (01-10-2007)“…It is shown that the fundamental eigenvalue ratio λ 2 λ 1 of the p-Laplacian is bounded by a quantity depending only on the dimension N and p…”
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15
On the spectrum and the distribution of singular values of Schrödinger operators with a complex potential
Published in Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences (08-07-1983)“…This paper is concerned with spectral properties of the Schrödinger operator ─ ∆+q with a complex potential q which has non-negative real part and satisfies…”
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16
Bifurcation for an elliptic system coupled in the linear part
Published in Nonlinear analysis (01-07-1999)Get full text
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17
Heat Equation on the Triadic Von Koch Snowflake: Asymptotic and Numerical Analysis
Published in Proceedings of the London Mathematical Society (01-09-1995)Get full text
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18
Indefinite Elliptic Boundary Value Problems on Irregular Domains
Published in Proceedings of the American Mathematical Society (01-02-1995)“…We establish estimates for the remainder term of the asymptotics of the Dirichlet or Neumann eigenvalue problem$-\Delta u(x) = \lambda r(x) u(x),\quad x \in…”
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19
Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function
Published in Transactions of the American Mathematical Society (1986)“…We consider general selfadjoint elliptic eigenvalue problems \begin{equation*}\tag{P} \mathcal{A}u = \lambda r(x)u,\end{equation*} in an open set$\Omega…”
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20
Antimaximum principle in [formula omitted]: local versus global
Published in Journal of Differential Equations (2004)“…We study the antimaximum principle for the p-Laplacian defined on the whole set R N with an indefinite weight function. We show that a local version of this…”
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