Local-nonlocal Schrödinger equation with critical exponent: the zero mass case

DOI10.1007/S40840-024-01754-9MaRDI QIDQ6612114

Qiqi Bao

Publication date: 30 September 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

existencecritical exponentSchrödinger equationnon-existencelocal and nonlocal operator

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Cites Work

• Title not available (Why is that?)
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• Title not available (Why is that?)
• Optimal decay of extremals for the fractional Sobolev inequality
• Blowup for fractional NLS
• Hitchhiker's guide to the fractional Sobolev spaces
• The principle of symmetric criticality
• A fractional \(p\)-Laplacian problem with multiple critical Hardy-Sobolev nonlinearities
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Nonlinear scalar field equations. I: Existence of a ground state
• Nonlinear ground state representations and sharp Hardy inequalities
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Nonlocal problems with critical Hardy nonlinearity
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes
• Ground state and least positive energy solutions of elliptic problems involving mixed fractional \(p\)-Laplacians.
• On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians
• Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians
• On blowup solutions for the mixed fractional Schrödinger equation of Choquard type
• Fractional Hardy-Sobolev elliptic problems
• Fine boundary regularity for the degenerate fractional \(p\)-Laplacian
• Fractional \(p\)-Laplacian problems with Hardy terms and critical exponents
• Multiplicity results for fractional \(p\)-Laplacian problems with Hardy term and Hardy-Sobolev critical exponent in \(\mathbb{R}^N\)
• On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions.
• Elementary Proofs of Embedding Theorems for Potential Spaces of Radial Functions
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Mixed local and nonlocal elliptic operators: regularity and maximum principles
• Asymptotics for optimizers of the fractional Hardy–Sobolev inequality
• An Extension Problem Related to the Fractional Laplacian
• Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities
• (Non)local logistic equations with Neumann conditions
• Existence and dynamics of normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians

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