Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero

DOI10.3934/dcdss.2021007zbMath1479.35917OpenAlexW3120496089WikidataQ114022632 ScholiaQ114022632MaRDI QIDQ2056468

Yutong Chen, Jiabao Su

Publication date: 8 December 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021007

zbMATH Keywords

critical groupsMorse theoryhomotopy invariance

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (1)

Nontrivial solutions of elliptic systems with nonlinearities may not have asymptotic limits

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