Existence of solutions to quasilinear Schrödinger equations involving critical Sobolev exponent

DOI10.11650/tjm/8150zbMath1401.35050OpenAlexW2752738444MaRDI QIDQ1990388

Youjun Wang, Zhou-Xin Li

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1504836033

zbMATH Keywords

positive solutionsvariational methodsquasilinear Schrödinger equations

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (12)

Ground state sign-changing solutions for a class of quasilinear Schrödinger equations ⋮ On the existence of nontrivial solutions for quasilinear Schrödinger systems ⋮ Multiple solutions for quasilinear Schrödinger equations involving local nonlinearity term ⋮ Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations ⋮ Concentrating positive solutions for quasilinear Schrödinger equations involving steep potential Well ⋮ Unnamed Item ⋮ Positive solutions for a class of quasilinear Schrödinger equations with superlinear condition ⋮ Positive solutions for a class of singular quasilinear Schrödinger equations with critical Sobolev exponent ⋮ Positive solutions for a class of quasilinear Schrödinger equations with two parameters ⋮ Some results on standing wave solutions for a class of quasilinear Schrödinger equations ⋮ Positive solutions for critical quasilinear Schrödinger equations with potentials vanishing at infinity ⋮ Infinitely many sign-changing solutions for modified Kirchhoff-type equations in ℝ³

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