PreprintarXiv licencearXiv
Compactly Supported Solutions near a Nehari Critical Value
Abstract
We study non-negative solutions of the indefinite sublinear Dirichlet problem { ll −Δu=λu+m(x)|u|α−1u& in $Ω$, u=0& on $∂ Ω$, . where Ω⊂ ℝN is a smooth bounded domain, 0<α<1, m∈ L∞ (Ω) is a sign-changing or non-positive weight, and λ∈ ℝ.
Related
- Compactly Supported Finite-Energy Stationary Solutions of the Three-Dimensional Navier-Stokes Equations
- Sharp Quantitative Convergence of Compactly Supported Aggregation-Diffusion
- Compactly supported instability of Riemannian Schwarzschild–Tangherlini metrics
- A new approach to compactly supported stationary Euler flows
- A note on existence of smooth solution to Jacobian equation for compactly supported smooth data in ℝ2
BibTeX
@misc{dıaz2026compactly,
title = {{Compactly Supported Solutions near a Nehari Critical Value}},
author = {J. I. Dıaz and J. Hernandez and Y. Ilyasov},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30578},
eprint = {2608.30578},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30578},
}
RIS
TY - UNPB
TI - Compactly Supported Solutions near a Nehari Critical Value
AU - J. I. Dıaz
AU - J. Hernandez
AU - Y. Ilyasov
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30578
UR - https://arxiv.org/abs/2608.30578
AB - We study non-negative solutions of the indefinite sublinear Dirichlet problem { ll −Δu=λu+m(x)|u|^α−1u& in $Ω$, u=0& on $∂ Ω$, . where Ω⊂ ℝ^N is a smooth bounded domain, 0<α<1, m∈ L^∞ (Ω) is a sign-changing or non-positive weight, and λ∈ ℝ.
ER -