Blow-up phenomena and asymptotic profiles passing from \(H^1\)-critical to super-critical quasilinear Schrödinger equations

DOI10.1515/ans-2021-2144OpenAlexW3198742485MaRDI QIDQ2240571

Youjun Wang, Daniele Cassani

Publication date: 4 November 2021

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06816

zbMATH Keywords

critical growthfinite energy solutionsconcentration phenomenasemiclassical statesnon-autonomous Schrödinger equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Elliptic equations and elliptic systems (35Jxx)

Related Items (2)

Multiplicity results for generalized quasilinear critical Schrödinger equations in \(\mathbb{R}^N\) ⋮ Existence of solutions for a quasilinear Schrödinger equation with potential vanishing

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