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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
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Positive Solutions for Third-Order Boundary Value Problems with Indefinite Weight

Mediterranean Journal of Mathematics, 2023
Zhonghua Bi, Sanyang Liu
semanticscholar   +1 more source

Sturm–Liouville problems with indefinite weights and Everitt's inequality

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1996
It is shown that spectral properties of Sturm–Liouville eigenvalue problems with indefinite weights are related to integral inequalities studied by Everitt. A result of Beals on indefinite problems leads to a sufficient condition for the validity of such an inequality.
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Bi-nonlocal sixth order p(x)-problem with indefinite weight

Journal of Elliptic and Parabolic Equations, 2023
F. Jaafri, Khalid Soualhine
semanticscholar   +1 more source

Global structure of positive solutions for a Neumann problem with indefinite weight in Minkowski space

Journal of Fixed Point Theory and Applications, 2023
Ruyun Ma, Xiaoxiao Su, Zhongzi Zhao
semanticscholar   +1 more source

A critical p(x)-biharmonic Kirchhoff type problem with indefinite weight under no flux boundary condition

Boletín de la Sociedad Matematica Mexicana, 2022
Khalid Soualhine   +3 more
semanticscholar   +1 more source

Stabilization analysis for Markov jump systems with multiplicative noise and indefinite weight costs

Science China Information Sciences, 2021
Hongdan Li, Chunyan Han, Huanshui Zhang
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On a p(x)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition

Collectanea Mathematica, 2021
M. Talbi   +3 more
semanticscholar   +1 more source

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