Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core

DOI10.1080/00036811.2022.2063849zbMath1522.35240OpenAlexW4224053362MaRDI QIDQ6079801

Unnamed Author

Publication date: 29 September 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2022.2063849

zbMATH Keywords

semilinear elliptic equationexistence of a least energy solution

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Cites Work

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• Elliptic partial differential equations of second order
• Variational methods for indefinite superlinear homogeneous elliptic problems
• A concentration phenomenon for semilinear elliptic equations
• Existence and stability of TE modes in a stratified non-linear dielectric

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