What question did this study set out to answer?

The aim is to establish the existence of ground state solutions for a class of elliptic Kirchhoff–Boussinesq-type problems.

July 18, 2026Zeitschrift für angewandte Mathematik und PhysikOpen Access

Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator

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Authors

RCR. D. CarlosUniversidade de Brasília SSS. M. A. SalirrosasUniversidade Federal do Maranhão

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Implication

Randomized trial demonstrates the existence and multiplicity of solutions in critical elliptic systems, indicating significant implications for mathematical modeling.

Key Points

The aim is to establish the existence of ground state solutions for a class of elliptic Kirchhoff–Boussinesq-type problems.
Employed variational methods to find ground state solutions.
Utilized the Ljusternik–Schnirelmann category to prove multiplicity of solutions.
Analyzed conditions for parameters involving biharmonic and p-Laplacian operators.
Established the existence of ground state solutions for the critical system.
Proved multiplicity of solutions under the specified conditions, demonstrating new solution pathways.

Cite This Study

Carlos et al. (2026) studied this question.

synapsesocial.com/papers/6a5b183e18557b26c203a2bb https://doi.org/10.1007/s00033-026-02864-z

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Implication

Randomized trial demonstrates the existence and multiplicity of solutions in critical elliptic systems, indicating significant implications for mathematical modeling.

Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator

Discussion

Member takes

Implication

Key Points

Cite This Study

Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator

Discussion

Member takes

Implication

Key Points

Cite This Study

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