4.5 Article

Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Applied

On a nonhomogeneous Kirchhoff-type elliptic problem with critical exponential in dimension two

Wenjing Chen et al.

Summary: In this article, the Ekeland variational principle, mountain pass theorem, and Trudinger-Moser inequality are used to establish the existence and multiplicity of solutions for a nonhomogeneous Kirchhoff-type elliptic problem.

APPLICABLE ANALYSIS (2022)

Article Mathematics, Applied

Nonlocal Kirchhoff Problems with Singular Exponential Nonlinearity

Xiang Mingqi et al.

Summary: This paper first establishes the fractional Trudinger-Moser inequality in singular cases, and then uses it to study the existence and multiplicity of solutions for perturbed fractional Kirchhoff type problems with singular exponential nonlinearity. Under certain assumptions, the existence of two nontrivial and nonnegative solutions is obtained, and the existence of ground state solutions for the aforementioned problems without perturbation and without the Ambrosetti-Rabinowitz condition is also investigated.

APPLIED MATHEMATICS AND OPTIMIZATION (2021)

Article Mathematics

On the planar Schrodinger-Poisson system with the axially symmetric potential

Sitong Chen et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Article Mathematics, Applied

Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity

Sitong Chen et al.

ADVANCES IN NONLINEAR ANALYSIS (2020)

Article Mathematics, Applied

Superlinear Schrodinger-Kirchhoff type problems involving the fractional p-Laplacian and critical exponent

Mingqi Xiang et al.

ADVANCES IN NONLINEAR ANALYSIS (2020)

Article Mathematics, Applied

A critical fractional Choquard-Kirchhoff problem with magnetic field

Xiang Mingqi et al.

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (2019)

Article Mathematics, Applied

Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity

Xiang Mingqi et al.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2019)

Article Mathematics, Applied

A multiplicity result for asymptotically linear Kirchhoff equations

Chao Ji et al.

ADVANCES IN NONLINEAR ANALYSIS (2019)

Article Physics, Mathematical

Berestycki-Lions conditions on ground state solutions for Kirchhoff-type problems with variable potentials

Sitong Chen et al.

JOURNAL OF MATHEMATICAL PHYSICS (2019)

Article Physics, Mathematical

Existence of positive solution for a planar Schrodinger-Poisson system with exponential growth

Claudianor O. Alves et al.

JOURNAL OF MATHEMATICAL PHYSICS (2019)

Article Mathematics, Applied

Multiple solutions for a Kirchhoff-type equation with general nonlinearity

Sheng-Sen Lu

ADVANCES IN NONLINEAR ANALYSIS (2018)

Article Mathematics

Ground state solution for a class of indefinite variational problems with critical growth

Claudianor O. Alves et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2018)

Article Mathematics, Applied

Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials

X. H. Tang et al.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2017)

Article Mathematics, Applied

Ground State Solution for a Kirchhoff Problem with Exponential Critical Growth

Giovany M. Figueiredo et al.

MILAN JOURNAL OF MATHEMATICS (2016)

Article Mathematics

Existence and concentration of ground state solutions for a critical nonlocal Schrodinger equation in R2

Claudianor O. Alves et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2016)

Article Mathematics

Ground state sign-changing solutions for Kirchhoff type problems in bounded domains

X. H. Tang et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2016)

Article Mathematics

Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in R3

Yinbin Deng et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2015)

Article Mathematics, Applied

Existence and Concentration Result for the Kirchhoff Type Equations with General Nonlinearities

Giovany M. Figueiredo et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2014)

Article Mathematics

Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in R3

Gongbao Li et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2014)

Article Mathematics

Existence of a positive solution to Kirchhoff type problems without compactness conditions

Yuhua Li et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2012)

Article Mathematics

Existence and concentration behavior of positive solutions for a Kirchhoff equation in R3

Xiaoming He et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2012)

Article Mathematics, Applied

Existence and multiplicity of solutions for Kirchhoff type equations

Ji-Jiang Sun et al.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2011)

Article Mathematics, Applied

Quasilinear asymptotically periodic Schrodinger equations with critical growth

Elves A. B. Silva et al.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2010)