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References from Existence and non-existence results for DNLS systems with mixed and sign-changing terms. Local targets link to admitted publications; unresolved targets remain external evidence.
Standing waves and homoclinic solutions for periodic discrete Schrödinger systems with saturable nonlinearities
10.1098/rspa.2025.0087 · 2025 · External reference
Perturbed Schrödinger lattice systems with superlinear terms: Multiplicity of homoclinic solutions
10.1007/s00526-021-02054-x · 2021 · External reference
Discrete Schrödinger equations and systems with mixed and concave-convex nonlinearities
2024 · External reference
10.1142/s0219530525500502
10.1142/s0219530525500502 · External reference
Non-periodic discrete Schrödinger equations: Ground state solutions
10.1007/s00033-016-0665-8 · 2016 · External reference
10.1016/j.jde.2016.05.030
10.1016/j.jde.2016.05.030 · External reference
10.1038/nature01936
10.1038/nature01936 · External reference
Non-convex minimization problems
10.1090/s0273-0979-1979-14595-6 · 1979 · External reference
Homoclinic solutions of discrete nonlinear systems via variational method
2019 · External reference
The discrete nonlinear Schrödinger equation: A survey of recent results
10.1142/s0217979201007105 · 2001 · External reference
Targeted energy transfer through discrete breathers in nonlinear systems
10.1103/physrevlett.87.165501 · 2001 · External reference
10.1137/21m1413201
10.1137/21m1413201 · External reference
Homoclinic solutions of discrete ϕ-Laplacian equations with mixed nonlinearities
10.3934/cpaa.2018082 · 2018 · External reference
Homoclinic solutions of discrete nonlinear Schrödinger equations with partially sublinear nonlinearities
2019 · External reference
10.1007/s10884-019-09743-4
10.1007/s10884-019-09743-4 · External reference
Self-localization of Bose-Einstein condensates in optical lattices via boundary dissipation
10.1103/physrevlett.97.060401 · 2006 · External reference
10.1007/s12220-022-01166-w
10.1007/s12220-022-01166-w · External reference
Homoclinic solutions in periodic partial difference equations
10.1515/anona-2025-0072 · 2025 · External reference
Gap solitons in periodic discrete nonlinear equations
10.1088/0951-7715/19/1/002 · 2006 · External reference
10.1016/j.jmaa.2010.05.041
10.1016/j.jmaa.2010.05.041 · External reference
10.1080/00036811.2011.609987
10.1080/00036811.2011.609987 · External reference
10.1098/rspa.2008.0255
10.1098/rspa.2008.0255 · External reference
10.1007/s10958-011-0448-x
10.1007/s10958-011-0448-x · External reference
Existence of gap solitons in periodic discrete nonlinear Schrödinger equations
10.1016/j.jmaa.2009.07.026 · 2010 · External reference
10.1080/10236191003639467
10.1080/10236191003639467 · External reference
Infinitely many stationary solutions of discrete vector nonlinear Schrödinger equation with symmetry
10.1016/j.amc.2009.12.045 · 2010 · External reference
Solutions for discrete periodic Schrödinger equations with spectrum 0
10.1007/s10440-009-9521-6 · 2010 · External reference
Breather solutions of the discrete nonlinear Schrödinger equations with unbounded potentials
10.1063/1.3036182 · 2009 · External reference
Existence of breather solutions of the DNLS equations with unbounded potentials
10.1016/j.na.2008.11.071 · 2009 · External reference
Standing waves of the discrete nonlinear Schrödinger equations with growing potentials
2008 · External reference
10.1007/s11425-014-4883-2
10.1007/s11425-014-4883-2 · External reference
10.1080/10236198.2025.2480082
10.1080/10236198.2025.2480082 · External reference
Non-periodic discrete Schrödinger equations: Ground state solutions
10.1007/s00033-016-0665-8 · ExternalCitation · doi-reference
Perturbed Schrödinger lattice systems with superlinear terms: Multiplicity of homoclinic solutions
10.1007/s00526-021-02054-x · ExternalCitation · doi-reference
Solutions for discrete periodic Schrödinger equations with spectrum 0
10.1007/s10440-009-9521-6 · ExternalCitation · doi-reference
10.1007/s10884-019-09743-4
10.1007/s10884-019-09743-4 · ExternalCitation · doi-reference
10.1007/s10958-011-0448-x
10.1007/s10958-011-0448-x · ExternalCitation · doi-reference
10.1007/s11425-014-4883-2
10.1007/s11425-014-4883-2 · ExternalCitation · doi-reference
10.1007/s12220-022-01166-w
10.1007/s12220-022-01166-w · ExternalCitation · doi-reference
Infinitely many stationary solutions of discrete vector nonlinear Schrödinger equation with symmetry
10.1016/j.amc.2009.12.045 · ExternalCitation · doi-reference
10.1016/j.jde.2016.05.030
10.1016/j.jde.2016.05.030 · ExternalCitation · doi-reference
Existence of gap solitons in periodic discrete nonlinear Schrödinger equations
10.1016/j.jmaa.2009.07.026 · ExternalCitation · doi-reference
10.1016/j.jmaa.2010.05.041
10.1016/j.jmaa.2010.05.041 · ExternalCitation · doi-reference
Existence of breather solutions of the DNLS equations with unbounded potentials
10.1016/j.na.2008.11.071 · ExternalCitation · doi-reference
10.1038/nature01936
10.1038/nature01936 · ExternalCitation · doi-reference
Breather solutions of the discrete nonlinear Schrödinger equations with unbounded potentials
10.1063/1.3036182 · ExternalCitation · doi-reference
10.1080/00036811.2011.609987
10.1080/00036811.2011.609987 · ExternalCitation · doi-reference
10.1080/10236191003639467
10.1080/10236191003639467 · ExternalCitation · doi-reference
10.1080/10236198.2025.2480082
10.1080/10236198.2025.2480082 · ExternalCitation · doi-reference
Gap solitons in periodic discrete nonlinear equations
10.1088/0951-7715/19/1/002 · ExternalCitation · doi-reference
Non-convex minimization problems
10.1090/s0273-0979-1979-14595-6 · ExternalCitation · doi-reference
10.1098/rspa.2008.0255
10.1098/rspa.2008.0255 · ExternalCitation · doi-reference
Standing waves and homoclinic solutions for periodic discrete Schrödinger systems with saturable nonlinearities
10.1098/rspa.2025.0087 · ExternalCitation · doi-reference
Targeted energy transfer through discrete breathers in nonlinear systems
10.1103/physrevlett.87.165501 · ExternalCitation · doi-reference
Self-localization of Bose-Einstein condensates in optical lattices via boundary dissipation
10.1103/physrevlett.97.060401 · ExternalCitation · doi-reference
10.1137/21m1413201
10.1137/21m1413201 · ExternalCitation · doi-reference
The discrete nonlinear Schrödinger equation: A survey of recent results
10.1142/s0217979201007105 · ExternalCitation · doi-reference
10.1142/s0219530525500502
10.1142/s0219530525500502 · ExternalCitation · doi-reference
Homoclinic solutions in periodic partial difference equations
10.1515/anona-2025-0072 · ExternalCitation · doi-reference
Homoclinic solutions of discrete ϕ-Laplacian equations with mixed nonlinearities
10.3934/cpaa.2018082 · ExternalCitation · doi-reference
