quasilinear schrödinger equations involving critical exponents in $mathbb{textbf{r}}^2$

Authors

y. yao

school of mathematics‎, ‎south china university of technology‎, ‎guangzhou‎, ‎guangdong 510640‎, ‎p‎. ‎r‎. ‎of china. y. yao

school of mathematics‎, ‎south china university of technology‎, ‎guangzhou‎, ‎guangdong 510640‎, ‎p‎. ‎r‎. ‎of china.

abstract

‎we study the existence of soliton solutions for a class of‎ ‎quasilinear elliptic equation in $mathbb{textbf{r}}^2$ with critical exponential growth‎. ‎this model has been proposed in the self-channeling of a‎ ‎high-power ultra short laser in matter‎.

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Journal title:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۶، صفحات ۱۳۸۷-۱۴۰۱

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