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Existence of positive solutions for critical p-Laplacian equation with critical Neumann boundary condition

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This analysis shows the existence of positive solutions in critical p-Laplacian equations, suggesting implications for Neumann boundary problems.

Positive solutions exist in certain conditions for critical p-Laplacian equations, highlighting their significance.
Establishing this conclusion involves properties of Sobolev constants and the analysis of perturbations in critical problems.
Employing established mathematical arguments, this approach proves essential for addressing critical equations in Neumann conditions.
Findings may pave ways for advancing mathematical understanding, emphasizing the relevance of critical p-Laplacian equations in boundary value problems.

Deng et al. (2025) studied this question.

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View Full Paper

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This analysis shows the existence of positive solutions in critical p-Laplacian equations, suggesting implications for Neumann boundary problems.

Positive solutions exist in certain conditions for critical p-Laplacian equations, highlighting their significance.
Establishing this conclusion involves properties of Sobolev constants and the analysis of perturbations in critical problems.
Employing established mathematical arguments, this approach proves essential for addressing critical equations in Neumann conditions.
Findings may pave ways for advancing mathematical understanding, emphasizing the relevance of critical p-Laplacian equations in boundary value problems.

Deng et al. (2025) studied this question.

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