We obtain existence and multiplicity results for elliptic parametric variable exponent problems where the reaction term exhibits a mildly singularity at zero and driven by two positive parameters. We improve some recent results obtained in the p-Laplacian case, for the variable exponent setting. Moreover, near zero, we generalize the growth assumptions. A computable estimate of parameters is also furnished.
Positive solutions for parametric singular p(x)-Laplacian problems
Candito, Pasquale;Failla, Giuseppe
2026-01-01
Abstract
We obtain existence and multiplicity results for elliptic parametric variable exponent problems where the reaction term exhibits a mildly singularity at zero and driven by two positive parameters. We improve some recent results obtained in the p-Laplacian case, for the variable exponent setting. Moreover, near zero, we generalize the growth assumptions. A computable estimate of parameters is also furnished.File in questo prodotto:
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