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Anisotropic eigenvalue problems with singular and sign-changing terms
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DOI：10.1016/j.cnsns.2024.108170.png)
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摘要
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We consider a nonlinear Dirichlet problem driven by the anisotropic (p, q)-Laplacian and with a parametric reaction which has the competing effects of a singular term and of a Caratheodory perturbation which is sign-changing and superlinear. Using variational tools together with truncation and comparison techniques, we show that for all small values of the parameter lambda>0, the problem under consideration has at least two positive solutions. Our multiplicity result extends earlier ones on anisotropic singular problems, where the perturbation is assumed to be nonnegative
Keyword:
Anisotropic (p,q)-operator
Regularity
Comparison theorem
Positive solutions
Truncations
期刊
IF:
3.8
论文数:
9.2K
被引数:
1.8W
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