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1. Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth

   Yuxi Meng, **aoming He in Acta Mathematica Scientia

   Article 14 February 2024

2. On the Existence of Ground State Solutions to a Quasilinear Schrödinger Equation involving p-Laplacian

   Ji-xiu Wang, Qi Gao in Acta Mathematicae Applicatae Sinica, English Series

   Article 19 April 2023

3. A Dual Yamabe Flow and Related Integral Flows

   The author studies a family of nonlinear integral flows that involve Riesz potentials on Riemannian manifolds. In the Hardy-Littlewood-Sobolev (HLS...

   **gang **ong in Chinese Annals of Mathematics, Series B

   Article 29 May 2024

4. The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem

   In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an...

   Julián Fernández Bonder, Nicolas Saintier, Analía Silva in Nonlinear Differential Equations and Applications NoDEA

   Article 19 October 2018

5. Solutions for Schrödinger-Poisson system involving nonlocal term and critical exponent

   **u-ming Mo, An-min Mao, **ang-xiang Wang in Applied Mathematics-A Journal of Chinese Universities

   Article 12 September 2023

6. A critical p(x)-biharmonic Kirchhoff type problem with indefinite weight under no flux boundary condition

   The aim of this work is to study the existence and the multiplicity of nontrivial weak solutions for a class of fourth order p ( x )-Kirchhoff type...

   Khalid Soualhine, Mohammed Filali, ... Najib Tsouli in Boletín de la Sociedad Matemática Mexicana

   Article 27 February 2022

7. Positive ground states for nonlinear Schrödinger–Kirchhoff equations with periodic potential or potential well in \(\mathbf{R}^{3}\)

   Wei Chen, Zunwei Fu, Yue Wu in Boundary Value Problems

   Article Open access 05 December 2022
   

8. The 3D Nonlinear Schrödinger Equation with a Constant Magnetic Field Revisited

   In this paper, we revisit the Cauchy problem for the three dimensional nonlinear Schrödinger equation with a constant magnetic field. We first...

   Van Duong Dinh in Journal of Dynamics and Differential Equations

   Article 06 December 2022

9. The Laplace Equation in the Half-Space Involving Nonlinearities Without the Ambrosetti and Rabinowitz Condition

   This work establishes the existence of solution for a class of problems that addresses the Laplacian operator in the Euclidean half-space with a...

   Manassés de Souza, Wilberclay G. Melo in Results in Mathematics

   Article 24 December 2021

10. Existence and Stability of Standing Waves for the Mixed Dispersion Nonlinear Schrödinger Equation with a Partial Confinement in \({\mathbb {R}}^{N}\)

    In this paper, we are devoted to the existence and stability of standing waves for the mixed dispersion nonlinear Schrödinger equation with a partial...

    Chao Ji, Neng Su in The Journal of Geometric Analysis

    Article 28 March 2023

11. Normalized Ground States for the Schrödinger Equation with Hartree Type and Square-Root Nonlinearities

    Anmin Mao, Shuyao Lu in Mediterranean Journal of Mathematics

    Article 06 November 2023

12. p-Kirchhoff Modified Schrödinger Equation with Critical Nonlinearity in \(\mathbb {R}^{N}\)

    Sihua Liang, Han Liu, Deli Zhang in Results in Mathematics

    Article 25 January 2024

13. Existence and Multiplicity Results for Fractional Schrödinger Equation with Critical Growth

    Lun Guo, Qi Li in The Journal of Geometric Analysis

    Article 07 September 2022

14. Positive Ground State Solutions for Generalized Quasilinear Schrödinger Equations with Critical Growth

    **n Meng, Shuguan Ji in The Journal of Geometric Analysis

    Article 28 September 2023

15. On Symmetric Solutions for (p, q)-Laplacian Equations in \({\mathbb {R}}^N\) with Critical Terms

    Laura Baldelli, Ylenia Brizi, Roberta Filippucci in The Journal of Geometric Analysis

    Article 01 February 2022
    

16. Sufficient and Necessary Conditions for Normalized Solutions to a Choquard Equation

    Chunyu Lei, Miaomiao Yang, Binlin Zhang in The Journal of Geometric Analysis

    Article 02 February 2023

17. Finsler Trudinger-Moser inequalities on ℝ²

    The first aim of this article is to study the sharp singular (two-weight) Trudinger-Moser inequalities with Finsler norms on ℝ ² . The second goal is...

    Nguyen Tuan Duy, Le Long Phi in Science China Mathematics

    Article 27 October 2021

18. A Nonhomogeneous and Critical Kirchhoff–Schrödinger Type Equation in \(\mathbb R^4\) Involving Vanishing Potentials

    Francisco S. B. Albuquerque, Marcelo C. Ferreira in Mediterranean Journal of Mathematics

    Article 17 August 2021

19. Concentration-compactness principle for Trudinger–Moser inequalities on Heisenberg groups and existence of ground state solutions

    Jungang Li, Guozhen Lu, Maochun Zhu in Calculus of Variations and Partial Differential Equations

    Article 02 May 2018

20. Blow-up solutions for a system of Schrödinger equations with general quadratic-type nonlinearities in dimensions five and six

    This paper deals with the Cauchy problem associated with a nonlinear system of Schrödinger equations with general quadratic-type nonlinearities. The...

    Norman Noguera, Ademir Pastor in Calculus of Variations and Partial Differential Equations

    Article 15 April 2022