Generalized quasilinear Schrödinger equations with critical growth

DOI10.1016/j.aml.2016.10.011zbMath1355.35067OpenAlexW2544635514MaRDI QIDQ346327

Yongkuan Cheng, Yao-Tian Shen

Publication date: 5 December 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.10.011

zbMATH Keywords

mountain pass theoremcritical growthquasilinear Schrödinger equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items

Positive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potential, Existence of ground state solutions for generalized quasilinear Schrödinger equations with asymptotically periodic potential, Existence and asymptotic behavior of ground state solutions for quasilinear Schrödinger equations with unbounded potential, Generalized quasilinear Schrödinger equations with concave functions \( l(s^2)\), Unnamed Item, Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well

Cites Work

• A class of generalized quasilinear Schrödinger equations
• Soliton solutions for a quasilinear Schrödinger equation with critical exponent
• Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
• Soliton solutions for quasilinear Schrödinger equations with critical growth
• Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations
• Soliton solutions for quasilinear Schrödinger equations. II.
• Minimax theorems
• Soliton solutions for generalized quasilinear Schrödinger equations
• Dual variational methods in critical point theory and applications
• Standing waves for a class of quasilinear Schrödinger equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Quasilinear asymptotically periodic Schrödinger equations with critical growth