Ground state and least positive energy solutions of elliptic problems involving mixed fractional \(p\)-Laplacians.

zbMATH Open1499.35647MaRDI QIDQ2076589

H. Hajaiej, Kanishka Perera

Publication date: 22 February 2022

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

ground state solution\(\mathbb{Z}_2\)-cohomological indexabstract critical point theoremmixed fractional Laplacian

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Fractional partial differential equations (35R11)

Related Items (3)

Local-nonlocal Schrödinger equation with critical exponent: the zero mass case ⋮ Lazer-McKenna type problem involving mixed local and nonlocal elliptic operators ⋮ On the eigenvalues of the \(p\& q\)-fractional Laplacian

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