Uniqueness for a class of singular quasilinear Dirichlet problem

Chu, K. D.; Hai, D. D.; Shivaji, R.

doi:10.1016/j.aml.2020.106306

Cited by 3 publications

(1 citation statement)

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“…These works deal with existence and multiplicity results for (4), whereas we are interested in the uniqueness aspect of the solution for large λ. In this context, the authors in [4] and [5] have proved the uniqueness of solutions of (4) when p = q and with certain additional assumptions on f. In section 3 of this paper, we provide a concrete application of Theorem 1.1 in proving a uniqueness result for an elliptic boundary value problem ( 4), the result is stated below. Theorem 1.2.…”

Section: Introductionmentioning

confidence: 99%

Parameter estimates and a uniqueness result for double phase problem with a singular nonlinearity

Dhanya¹,

S.²

2023

Preprint

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We consider the boundary value problem, g is a positive weight function and λ is a positive parameter. We derive an estimate for u λ which describes its exact behavior when the parameter λ is large. In general, by invoking appropriate comparison principles, this estimate can be used as a powerful tool in deducing the existence, non-existence and multiplicity of positive solutions of nonlinear elliptic boundary value problems. Here, as an application of this estimate, we obtain a uniqueness result for a nonlinear elliptic boundary value problem with a singular nonlinearity.

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Section: Introductionmentioning

confidence: 99%