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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 $$ \left \{\ \begin{array}{ll} -\Delta u=\lambda u+m(x)|u|^{\alpha -1}u&\quad\hbox{ in $\Omega$},\\ u=0&\quad \hbox{ on $\partial \Omega$}, \end{array} \right . $$ where $\Omega \subset \mathbb{R}^{N}$ is a smooth bounded domain, $0<\alpha <1$, $m\in L^{\infty }(\Omega )$ is a sign-changing or non-positive weight, and $\lambda \in \mathbb{R}$.

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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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