Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian

DOI10.2969/JMSJ/06941667zbMath1386.35364arXiv1603.02810OpenAlexW2295926037MaRDI QIDQ1687584

Loïc Le Treust, Nicolas Raymond, Jean Van Schaftingen, Søren Fournais

Publication date: 4 January 2018

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02810

zbMATH Keywords

Robin conditionsemiclassicalSobolev constantselectromagnetic Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs in connection with quantum mechanics (35Q40)

Related Items (7)

Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity ⋮ Ground states for fractional Schrödinger equations with electromagnetic fields and critical growth ⋮ On the bound states of magnetic Laplacians on wedges ⋮ Nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical growth ⋮ Sum of the negative eigenvalues for the semi-classical Robin Laplacian ⋮ On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity ⋮ Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field

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