Sign-changing solutions for a Schrödinger equation with saturable nonlinearity

DOI10.1007/s00032-011-0145-8zbMath1229.35271OpenAlexW1973651510MaRDI QIDQ640720

Liliane A. Maia, Ricardo Ruviaro

Publication date: 19 October 2011

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

Full work available at URL: https://doi.org/10.1007/s00032-011-0145-8

zbMATH Keywords

concentration compactnessPohozaev identitysaturable

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items

Positive solutions for quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Existence and concentration of positive solutions to a fractional system with saturable term ⋮ Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system: ground state, radial symmetry and Hölder regularity ⋮ Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations ⋮ Sign-changing solutions for a Schrödinger equation with saturable nonlinearity ⋮ Positive solutions of asymptotically linear equations via Pohozaev manifold ⋮ Bound states of a nonhomogeneous nonlinear Schrödinger equation with non symmetric potential ⋮ Existence of \(\tau\)-antisymmetric solutions for a system in \(\mathbb{R}^N\) ⋮ Nontrivial solutions for a nonlinear Schrödinger equation with nonsymmetric coefficients ⋮ Existence of solutions to a class of asymptotically linear Schrödinger equations in \(\mathbb{R}^n\) via the Pohozaev manifold

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