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Abstract
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This paper is concerned with a class of quasilinear problems in
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.
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Keywords
quasilinear equation, critical exponent, multiple solutions
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Mathematical Subject Classification 2010
Primary: 35J91
Secondary: 35B33
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Milestones
Received: 22 November 2018
Revised: 1 July 2020
Accepted: 5 December 2020
Published: 26 January 2021
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