January 1, 2025Advances in Nonlinear AnalysisOpen Access

High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness

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Existence of high-energy positive solutions obtained in the case of small source term perturbations, indicating the robustness of the findings.
Key evidence shows that the results hold even when the domain is large or involved critical growth terms.
A combination of variational methods and topological degree theory was used to analyze the systems, providing a new approach to these equations.
This work contributes to understanding phenomena under critical growth, potentially guiding future research in mathematical physics.

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Implication

This research demonstrates the existence of high-energy positive solutions in coupled schrodinger systems, suggesting implications for critical growth cases.

Cite This Study

Guan et al. (2025) studied this question.

synapsesocial.com/papers/68af4cdfad7bf08b1ead66c6 https://doi.org/10.1515/anona-2025-0099

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Implication

This research demonstrates the existence of high-energy positive solutions in coupled schrodinger systems, suggesting implications for critical growth cases.

High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness

Key Points

Discussion

Implication

Cite This Study

High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness

Key Points

Discussion

Implication

Cite This Study

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