Search results for: Chunyu Lei

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article

Ground state solutions for a Schrödinger–Poisson–Slater‐type equation with critical growth

Jiafeng Zhang, Chunyu Lei, Jun Lei

Mathematical Methods in the Applied Sciences > 45 > 12 > 7443 - 7450

We study the existence of ground state solutions of a Schrödinger–Poisson–Slater‐type equation with critical growth. By using the Nehari–Pohozaev manifold, we obtain the existence of ground state solutions of this system.

article

Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities

Zhipeng Cai, Changmu Chu, Chunyu Lei

Boundary Value Problems > 2017 > 2017 > 1 > 1-11

In this paper, we consider the study of a fractional elliptic problem with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities. By means of variational methods and suitable technique, a positive solution to this problem is obtained.

article

On Schatten p-norms of commutators

Che-Man Cheng, Chunyu Lei

Linear Algebra and Its Applications > 2015 > 484 > Complete > 409-434

For any odd integer d≥3, we determine the sharpest constant Cp,q,r such that‖XY−YX‖p≤Cp,q,r‖X‖q‖Y‖r for all X,Y∈Md, where Md denotes the set of all d×d complex matrices, ‖⋅‖p, 1≤p≤∞, denotes the Schatten p-norm on Md, and 1≤p,q,r≤∞ satisfy 1p>1q+1r. This is a continuation of the study of the problem considered in Wenzel and Audenaert (2010) [8].

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COMMUTATOR (1)
CRITICAL GROWTH (1)
CRITICAL NONLINEARITIES (1)
FRACTIONAL OPERATOR (1)
GROUND STATE (1)
HARDY-SOBOLEV-MAZ’YA POTENTIAL (1)
NORM INEQUALITY (1)
POSITIVE SOLUTION (1)
SCHATTEN P-NORM (1)
SCHRÖDINGER–POISSON–SLATER‐TYPE EQUATION (1)
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Search results for: Chunyu Lei

Ground state solutions for a Schrödinger–Poisson–Slater‐type equation with critical growth

Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities

On Schatten p-norms of commutators

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INFONA - science communication portal

Search results for: Chunyu Lei

Ground state solutions for a Schrödinger–Poisson–Slater‐type equation with critical growth

Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities

On Schatten p-norms of commutators

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