Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent
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Publication:4607661
DOI10.1063/1.5024898zbMath1420.35346OpenAlexW2788616462MaRDI QIDQ4607661
Bitao Cheng, Jian-Hua Chen, Xian Hua Tang
Publication date: 14 March 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5024898
Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)
Related Items (9)
Multiplicity and concentration results for generalized quasilinear Schrödinger equations with nonlocal term ⋮ A nontrivial solution of a quasilinear elliptic equation via dual approach ⋮ Existence and concentration behavior of ground state solutions for a class of generalized quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type ⋮ Semiclassical solutions of generalized quasilinear Schrödinger equations with competing potentials ⋮ Existence and nonexistence results for generalized quasilinear Schrödinger equations of Kirchhoff type in ℝ3 ⋮ Positive, negative, and sign-changing solutions to a quasilinear Schrödinger equation with a parameter ⋮ Ground state solutions for generalized quasilinear Schrödinger equations with critical growth ⋮ Existence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponents
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