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arXiv · 2608.30578

Compactly Supported Solutions near a Nehari Critical Value

J. I. Dıaz·J. Hernandez·Y. Ilyasov
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Abstract

We study non-negative solutions of the indefinite sublinear Dirichlet problem $$ \left \{\ \begin{array}{ll} -Δu=λu+m(x)|u|^{α-1}u&\quad\hbox{ in $Ω$},\\ u=0&\quad \hbox{ on $\partial Ω$}, \end{array} \right . $$ where $Ω\subset \mathbb{R}^{N}$ is a smooth bounded domain, $0<α<1$, $m\in L^{\infty }(Ω)$ is a sign-changing or non-positive weight, and $λ\in \mathbb{R}$.

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J. I. Dıaz, J. Hernandez, Y. Ilyasov. 2026-08-31. Compactly Supported Solutions near a Nehari Critical Value. https://arxiv.org/abs/2608.30578

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