Search results for: Shunneng Zhao

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article

Remainder terms of a nonlocal Sobolev inequality

Shengbing Deng, Xingliang Tian, Minbo Yang, Shunneng Zhao

Mathematische Nachrichten > 297 > 5 > 1652 - 1667

In this note, we study a nonlocal version of the Sobolev inequality where

S_{HLS}

is the best constant,

*

denotes the standard convolution and

D^{1, 2} (R^{N})

denotes the classical Sobolev space with respect to the norm

{∥ u ∥}_{D^{1, 2} (R^{N})} = {∥ \nabla u ∥}_{L^{2} (R^{N})}

. By using the nondegeneracy...

article

Existence of solutions for a weakly coupled Schrödinger system with critical growth

Zifei Shen, Minbo Yang, Shunneng Zhao

Mathematical Methods in the Applied Sciences > 44 > 17 > 13376 - 13402

In this paper, we are interested in the following critical coupled Schrödinger system: where F(s, t) = s^p + t^p + λs^αt^β, p ∈ (2, 2^∗), s, t ≥ 0, α + β = p, s₁ > 1, s₂ > 1 are two constants satisfying

s_{1} + s_{2} = 2^{*} = \frac{2 N}{N - 2}

, N ≥ 3. Under some assumptions on the potential functions V, W, K, Q, and for some specific nonlinearities, we are able to prove the existence of purely vector semiclassical solutions...

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Search results for: Shunneng Zhao

Remainder terms of a nonlocal Sobolev inequality

Existence of solutions for a weakly coupled Schrödinger system with critical growth

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INFONA - science communication portal

Search results for: Shunneng Zhao

Remainder terms of a nonlocal Sobolev inequality

Existence of solutions for a weakly coupled Schrödinger system with critical growth

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