What question did this study set out to answer?

The research aims to explore the existence and multiplicity of solutions for a specific type of nonlinear Dirichlet problem driven by a differential operator.

April 3, 2026Analysis and Applications0 citations

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Global existence and multiplicity of solutions for singular double phase eigenvalue problems

BABASHIR AHMADNorthwest African American Museum NPNikolaos S. PapageorgiouNational Technical University of Athens VRVicentiu RadulescuJagiellonian University

Key Points

The research aims to explore the existence and multiplicity of solutions for a specific type of nonlinear Dirichlet problem driven by a differential operator.
Analyzed a differential operator with unbalanced growth effects in a double phase problem.
Investigated the effects of singular terms alongside superlinear perturbations on solutions.
Developed a theorem proving global existence and multiplicity for parameter λ > 0.
Demonstrated that solutions exist globally for the specified nonlinear Dirichlet problem.
Proved that multiple solutions can be found under the conditions specified in the study.

Abstract

We study a nonlinear Dirichlet problem eigenvalue driven by a differential operator with unbalanced growth (double phase problem) and a reaction that has the competing effects of a singular term and of a superlinear perturbation. We prove an existence and multiplicity theorem which is global in the parameter λ > 0.

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Cite This Study

AHMAD et al. (Thu,) studied this question.

synapsesocial.com/papers/69cf5ecb5a333a821460d7af https://doi.org/https://doi.org/10.1142/s0219530526500466

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