Structure of the set of positive solutions of a non-linear Schrödinger equation

DOI10.1007/s11856-018-1752-7OpenAlexW2885680953MaRDI QIDQ1617917

Giovany M. Figueiredo, João R. Santos Júnior, Antonio Suárez

Publication date: 13 November 2018

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

Full work available at URL: https://doi.org/10.1007/s11856-018-1752-7

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Existence theories in calculus of variations and optimal control (49Jxx) General first-order partial differential equations and systems of first-order partial differential equations (35Fxx) Qualitative theory for ordinary differential equations (34Cxx) Equations and inequalities involving nonlinear operators (47Jxx)

Related Items (14)

Multiplicity of solutions to a Schrödinger problem with square diffusion term ⋮ Existence and multiplicity results for a multiparameter quasilinear Schrödinger equation ⋮ On positive solutions for a class of quasilinear elliptic equations ⋮ Multiple ordered solutions for a class of quasilinear problem with oscillating nonlinearity ⋮ A variational approach to quasilinear elliptic problems with gradient dependence ⋮ Unnamed Item ⋮ Existence of positive solution to Schrödinger-type semipositone problems with mixed nonlinear boundary conditions ⋮ Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity ⋮ Unnamed Item ⋮ Solution for nonvariational quasilinear elliptic systems via sub-supersolution technique and Galerkin method ⋮ Quasilinear equations involving critical exponent and concave nonlinearity at the origin ⋮ Study of a class of generalized Schrödinger equations ⋮ Multiplicity and regularity results for a class of quasilinear Schrödinger equations involving a nonlinearity concave at the origin ⋮ Multiple solutions for a class of singular quasilinear problems

Cites Work

• Unnamed Item
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• BIFURCATIONS FOR QUASILINEAR ELLIPTIC EQUATIONS, II
• Remarks on sublinear elliptic equations
• A priori bounds for positive solutions of nonlinear elliptic equations
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