Spikes of the two-component elliptic system in \(\mathbb {R}^4\) with the critical Sobolev exponent
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Publication:1755636
DOI10.1007/S00526-018-1479-7zbMath1406.35028OpenAlexW2907102228MaRDI QIDQ1755636
Publication date: 10 January 2019
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-018-1479-7
Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)
Related Items (12)
On a class of critical elliptic systems in \(\mathbb{R}^4\) ⋮ Existence of positive solutions to critical Schrödinger system with mixed interactions in \(\mathbb{R}^3\) ⋮ Ground states of nonlinear Schrödinger systems with mixed couplings ⋮ Sign-changing semi-classical solutions of the Brezís-Nirenberg problems with jump nonlinearities in high dimensions ⋮ On critical fractional systems with Hardy-Littlewood-Sobolev nonlinearities ⋮ Least energy sign-changing solutions of the singularly perturbed Brezis-Nirenberg problem ⋮ On the semiclassical solutions of a two-component elliptic system in \(\mathbb {R}^4\) with trapping potentials and Sobolev critical exponent: the repulsive case ⋮ Ground States of a \(\mathrm{K}\)-component critical system with linear and nonlinear couplings: the attractive case ⋮ Standing waves with prescribed mass for the coupled Hartree-Fock system with partial confinement ⋮ On a critical Schrödinger system in \(\mathbb{R}^4\) with steep potential wells ⋮ Normalized ground states for the critical fractional NLS equation with a perturbation ⋮ Normalized solutions for Schrödinger system with subcritical Sobolev exponent and combined nonlinearities
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