Kirchhoff-Boussinesq-type problems with positive and zero mass

Article Mathematics, Applied

Existence ground state solutions for a quasilinear Schrodinger equation with Hardy potential and Berestycki-Lions type conditions

Die Hu et al.

Summary: In this paper, the quasilinear Schrodinger equation with a Hardy potential is discussed, and a class of ground state solutions is obtained using Jeanjean's monotonicity trick.

APPLIED MATHEMATICS LETTERS (2022)

Add to Collection

Article Mathematics, Applied

A Berestycki-Lions type result for a class of problems involving the 1-Laplacian operator

Claudianor O. Alves

Summary: In this work, we prove a Berestycki-Lions type result for a specific class of problems, where we apply variational methods and p-Laplacian problems, and take the limit as p approaches 1(+).

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (2022)

Add to Collection

Article Mathematics

Planar Schrodinger-Poisson system with critical exponential growth in the zero mass case

Sitong Chen et al.

Summary: This paper develops new proof techniques and analytical methods to prove the existence of ground state solutions for a planar Schrodinger-Poisson system with zero mass. The paper obtains an upper bound for the Mountain Pass level, restoring compactness in the presence of critical exponential growth. It also establishes a Pohozaev type identity using a different approach, allowing for critical exponential growth nonlinearities and non-autonomous cases.

JOURNAL OF DIFFERENTIAL EQUATIONS (2022)

Add to Collection

Article Mathematics, Applied

On a critical biharmonic system involving p-Laplacian and Hardy potential

Tao Yang

Summary: This paper establishes a significant embedding inequality in a specific function space and uses it to obtain a nontrivial weak solution to a critical biharmonic system through variational methods.

APPLIED MATHEMATICS LETTERS (2021)

Add to Collection

Article Mathematics