On the antimaximum principle for the p-Laplacian and its sublinear perturbations
نویسندگان
چکیده
We investigate qualitative properties of weak solutions the Dirichlet problem for equation $$-\Delta _p u = \lambda \,m(x)|u|^{p-2}u+ \eta \,a(x)|u|^{q-2}u+ f(x)$$ in a bounded domain $$\Omega \subset \mathbb {R}^N$$ , where $$q1$$ right neighborhood first eigenvalue p-Laplacian provided $$m,f \in L^\gamma (\Omega )$$ $$\gamma >N$$ For completeness, also existence solutions.
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ژورنال
عنوان ژورنال: Partial Differential Equations And Applications
سال: 2023
ISSN: ['2662-2971', '2662-2963']
DOI: https://doi.org/10.1007/s42985-023-00235-1