Results 251 to 260 of about 2,067,545 (283)

On the antimaximum principle for the p-Laplacian with indefinite weight

Nonlinear Analysis: Theory, Methods & Applications, 2002
This paper is devoted to the study of the antimaximum principle (AMP) for the problem \[ \begin{gathered} -\Delta_p u=\lambda m(x)|u|^{p-2} u+ h(x)\quad\text{in }\Omega,\\ Bu= 0\quad\text{on }\partial\Omega,\end{gathered} \] where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\), \(\Delta_p\) is the \(p\)-Laplacian and \(Bu= 0\) represents either the
Tomáš Godoy
exaly   +4 more sources

On a Class of Schrödinger-Type Equations with Indefinite Weight Functions

Communications in Partial Differential Equations, 2008
In this paper we investigate the solvability of the Schrodinger equation (1.1) with indefinite weight functions and a subcritical Sobolev nonlinearity. We examine the common effect of the properties of the Nehari manifold and the fibrering maps on the existence of solutions of problem (1.1).
J Chabrowski
exaly   +5 more sources

Existence of solutions for an elliptic equation with indefinite weight

Nonlinear Analysis: Theory, Methods & Applications, 2007
The authors deal with the existence of solutions of the following elliptic equation: \[ -\Delta_x u= V(x)u+ f(x,u),\quad u\in H^1(\mathbb{R}^N),\tag{1} \] where \(V(x)\) is a function with possibly changing sign, \(f\) is a continuous function on \(\mathbb{R}^N\times \mathbb{R}\).
Jing, Zeng, Li, Yongqing
exaly   +2 more sources

Weighted Pseudoinversion with Indefinite Weights

Ukrainian Mathematical Journal, 2018
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Varenyuk, N. A., Galba, E. F., Sergienko, I. V., Khimich, A. N.   +3 more
openaire   +2 more sources

Existence and Uniqueness of Weighted Pseudoinverses with Nonsingular Indefinite Weights

Cybernetics and Systems Analysis, 2020
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Vareniuk, N. A., Tukalevska, N. I.
openaire   +2 more sources

Eigenvalues of the indefinite-weight \(p\)-Laplacian in weighted spaces

Funkcialaj Ekvacioj, 1995
We continue to study the following nonlinear eigenvalue problem in \(\mathbb{R}^N\): \[ -\Delta_p u=\lambda g(x)| u|^{p- 2}u, \] where \(\Delta_pu= \text{div}(|\nabla u|^{p-2}\nabla u)\) is the \(p\)-Laplacian with \(p>1\), \(\lambda\in\mathbb{R}\), \(u\) in some weighted space \(V\), and \(g\in L^\infty(\mathbb{R}^N)\) is an indefinite weight function.
Allegretto, Walter, Huang, Yin Xi
openaire   +2 more sources

Nonhomogeneous eigenvalue problem with indefinite weight

Complex Variables and Elliptic Equations, 2017
This paper, following the theory of partial differential equations on the Orlicz–Sobolev spaces, is mainly concerned with the nonhomogeneous eigenvalue problem involving variable growth conditions ...
Bin Ge, Chang Geng
openaire   +1 more source

Eigenvalues of Schrödinger operators with definite and indefinite weights

Applied Mathematics and Computation, 2014
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openaire   +3 more sources

Second cumulant statistical control with indefinite control weight

2008 47th IEEE Conference on Decision and Control, 2008
In linear-quadratic-Gaussian control, the positive definiteness of the control weighting matrix in the cost function has been assumed, however, it has been shown that solutions do exist for indefinite control weight matrices for the linear-quadratic-Gaussian case.
Chang-Hee Won, Ronald W. Diersing, Hyo-Sung Ahn   +2 more
openaire   +1 more source

Inverse Problems for Differential Operators with Indefinite Discontinuous Weights

Results in Mathematics, 2020
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openaire   +2 more sources