The generalized logistic equation with indefinite weight driven by the square root of the Laplacian

DOI10.1088/0951-7715/27/9/2361zbMath1303.35011OpenAlexW2029623215MaRDI QIDQ2924851

Dimitri Mugnai, Alessio Marinelli

Publication date: 17 October 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/27/9/2361

zbMATH Keywords

principal eigenfunctionnonlinear maximum principleindefinite potentialnonlinear regularityexistence and multiplicity theorems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

The fractional Hartree equation without the Ambrosetti-Rabinowitz condition ⋮ Nonlinear equations involving the square root of the Laplacian ⋮ On some fractional equations with convex-concave and logistic-type nonlinearities

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