NONEXISTENCE AND EXISTENCE OF POSITIVE GROUND STATE SOLUTIONS FOR GENERALIZED QUASILINEAR SCHRÖDINGER EQUATIONS.

Autor: YUNFENG WEI, CAISHENG CHEN, HONGWANG YU, RUI HU
Předmět:
Zdroj: Journal of Mathematical Inequalities; Jun2023, Vol. 17 Issue 2, p817-830, 14p
Abstrakt: This paper is concerned with a class of generalized quasilinear Schrödinger equations which have appeared from plasma physics, as well as high-power ultrashort laser in matter. Combining the variable replacement and the Schauder-Tychonoff fixed point theorem, we establish the nonexistence and existence of positive radial ground state solutions for this problem. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index