Results 61 to 70 of about 32,890 (279)
Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities
Electronic Journal of Differential Equations, 2017 In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms.
Qin Li, Zuodong Yang, Zhaosheng Feng
doaj
, 2013 We obtain an improved Sobolev inequality in H^s spaces involving Morrey norms. This refinement yields a direct proof of the existence of optimizers and the compactness up to symmetry of optimizing sequences for the usual Sobolev embedding. More generally,
Palatucci, Giampiero, Pisante, Adriano
core +1 more source
Concentration-compactness principle for mountain pass problems [PDF]
, 2022 Kyril Tintarev
openalex +1 more source
Diffusion‐based size determination of solute particles: a method adapted for postsynaptic proteins
FEBS Open Bio, EarlyView.We present a diffusion‐based approach for measuring the size of macromolecules and their complexes, and demonstrate its use on postsynaptic proteins. The method requires fluorescein‐labelled protein samples, a microfluidic device that maintains laminar flow for said samples, a microscope recording the emitted fluorescent signals, and an analytic ...
András László Szabó +7 more
wiley +1 more source
Boundary Value Problems, 2019 In this paper, we prove the existence of positive ground state solutions of the Schrödinger–Poisson system involving a negative nonlocal term and critical exponent on a bounded domain.
Wenxuan Zheng, Wenbin Gan, Shibo Liu
doaj +1 more source
Rethinking plastic waste: innovations in enzymatic breakdown of oil‐based polyesters and bioplastics
FEBS Open Bio, EarlyView.Plastic pollution remains a critical environmental challenge, and current mechanical and chemical recycling methods are insufficient to achieve a fully circular economy. This review highlights recent breakthroughs in the enzymatic depolymerization of both oil‐derived polyesters and bioplastics, including high‐throughput protein engineering, de novo ...
Elena Rosini +2 more
wiley +1 more source
Uniform Continuity and Br\'ezis-Lieb Type Splitting for Superposition Operators in Sobolev Space [PDF]
, 2016 Using concentration-compactness arguments we prove a variant of the Brezis-Lieb-Lemma under weaker assumptions on the nonlinearity than known before.
Ackermann, Nils
core
FEBS Open Bio, EarlyView.CAF‐mediated immunosuppression in ovarian cancer is driven by IDO1, reducing T‐cell function. Inhibiting IDO1 restores T‐cell proliferation and cytotoxicity, increases cancer cell apoptosis, and may help overcome CAF‐induced immune suppression in high‐grade serous ovarian cancer. Targeting IDO1 may improve antitumor immunity.
Hyewon Lee +3 more
wiley +1 more source
Ground state solutions for asymptotically periodic Schrodinger equations with critical growth
Electronic Journal of Differential Equations, 2013 Using the Nehari manifold and the concentration compactness principle, we study the existence of ground state solutions for asymptotically periodic Schrodinger equations with critical growth.
Hui Zhang, Junxiang Xu, Fubao Zhang
doaj
Doubly Critical Problems Involving Fractional Laplacians in ℝN
Advanced Nonlinear Studies, 2017 In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
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