#### Vol. 310, No. 1, 2021

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Multiple solutions for quasilinear elliptic equations with critical exponents in $\mathbb{R}^N$

### Fengshuang Gao and Yuxia Guo

Vol. 310 (2021), No. 1, 49–83
##### Abstract

This paper is concerned with a class of quasilinear problems in ${ℝ}^{N}$ involving critical exponents, which includes the so called modified nonlinear Schrödinger equation (MNSE). By using the truncation method together with the regularization approach and the compactness arguments, we prove the existence of infinitely many solutions for the above mentioned problems.

##### Keywords
quasilinear equation, critical exponent, multiple solutions
Primary: 35J91
Secondary: 35B33