Adimurthi, 1990, Multiplicity results for semilinear elliptic equations in bounded domain of R2 involving critical exponent, Ann. Sc. Norm. Super. Pisa, 17, 481
Albuquerque, 2016, On a class of Hamiltonian elliptic systems involving unbounded or decaying potentials in dimension two, Math. Nachr., 289, 1568, 10.1002/mana.201400203
Ávila, 2003, On the existence and shape of least energy solutions for some elliptic systems, J. Differ. Equ., 191, 348, 10.1016/S0022-0396(03)00017-2
Bartolo, 1983, Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity, Nonlinear Anal., 7, 981, 10.1016/0362-546X(83)90115-3
Bartsch, 1999, Infinitely many solutions of nonlinear elliptic systems, Prog. Nonlinear Differ. Equ. Appl., 35, 51
Benci, 1979, Critical point theorems for indefinite functionals, Invent. Math., 52, 241, 10.1007/BF01389883
Bonheure, 2012, Ground state and non-ground state solutions of some strongly coupled elliptic systems, Trans. Am. Math. Soc., 364, 447, 10.1090/S0002-9947-2011-05452-8
Bonheure, 2014, Hamiltonian elliptic systems: a guide to variational frameworks, Port. Math., 71, 301, 10.4171/PM/1954
Busca, 2000, Symmetry results for semilinear elliptic systems in the whole space, J. Differ. Equ., 163, 41, 10.1006/jdeq.1999.3701
Cassani, 2015, Existence of solitary waves for supercritical Schrödinger systems in dimension two, Calc. Var. Partial Differ. Equ., 54, 1673, 10.1007/s00526-015-0840-3
Cao, 1992, Nontrivial solution of semilinear elliptic equation with critical exponent in R2, Commun. Partial Differ. Equ., 17, 407, 10.1080/03605309208820848
Cerami, 1980, On the existence of eigenvalues for a nonlinear boundary value problem, Ann. Mat. Pura Appl., 124, 161, 10.1007/BF01795391
Chen, 2020, Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth, J. Differ. Equ., 269, 9144, 10.1016/j.jde.2020.06.043
Chen, 2021, Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth, Z. Angew. Math. Phys., 72, 38, 10.1007/s00033-020-01455-w
Chen, 2021, On the planar Schrödinger equation with indefinite linear part and critical growth nonlinearity, Calc. Var. Partial Differ. Equ., 60, 95, 10.1007/s00526-021-01963-1
Clement, 1992, Positive solutions of semilinear elliptic systems, Commun. Partial Differ. Equ., 17, 923, 10.1080/03605309208820869
Costa, 1996, A unified approach to strongly indefinite functionals, J. Differ. Equ., 122, 521, 10.1006/jdeq.1996.0039
de Figueiredo, 1995, Elliptic equations in R2 with nonlinearities in the critical growth range, Calc. Var. Partial Differ. Equ., 3, 139, 10.1007/BF01205003
de Figueiredo, 2005, An Orlicz-space approach to superlinear elliptic systems, J. Funct. Anal., 224, 471, 10.1016/j.jfa.2004.09.008
de Figueiredo, 2004, Critical and subcritical elliptic systems in dimension two, Indiana Univ. Math. J., 53, 1037, 10.1512/iumj.2004.53.2402
de Figueiredo, 2011, Elliptic equations and systems with critical Trudinger-Moser nonlinearities, Discrete Contin. Dyn. Syst., 30, 455, 10.3934/dcds.2011.30.455
de Figueiredo, 2020, Ground state solutions of Hamiltonian elliptic systems in dimension two, Proc. R. Soc. Edinb., 150, 1737, 10.1017/prm.2018.78
de Figueiredo, 1998, Decay, symmetry and existence of solutions to semilinear elliptic systems, Nonlinear Anal., 33, 211, 10.1016/S0362-546X(97)00548-8
de Souza, 2016, Hamiltonian elliptic systems in R2 with subcritical and critical exponential growth, Ann. Math., 195, 935
Ding, 2007, vol. 7
Ding, 2006, Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms, J. Differ. Equ., 222, 137, 10.1016/j.jde.2005.03.011
do Ó, 2021, Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions, Discrete Contin. Dyn. Syst., 41, 277, 10.3934/dcds.2020138
Hulshof, 1993, Differential systems with strongly indefinite variational structure, J. Funct. Anal., 114, 32, 10.1006/jfan.1993.1062
Kryszewski, 1998, Generalized linking theorem with an application to a semilinear Schrödinger equation, Adv. Differ. Equ., 3, 441
Lam, 2014, Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition, J. Geom. Anal., 24, 118, 10.1007/s12220-012-9330-4
Lions, 1984, The concentration-compactness principle in the calculus of variations. The locally compact case I, II, Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 1, 109, 10.1016/s0294-1449(16)30428-0
Pankov, 2005, Periodic nonlinear Schröinger equation with application to photonic crystals, Milan J. Math., 73, 259, 10.1007/s00032-005-0047-8
Qin, 2021, On the planar Choquard equation with indefinite potential and critical exponential growth, J. Differ. Equ., 285, 40, 10.1016/j.jde.2021.03.011
Sirakov, 2010, Soliton solutions to systems of coupled Schrödinger equations of Hamiltonian type, Trans. Am. Math. Soc., 362, 5729, 10.1090/S0002-9947-2010-04982-7
Szulkin, 2009, Ground state solutions for some indefinite variational problems, J. Funct. Anal., 257, 3802, 10.1016/j.jfa.2009.09.013
Tang, 2015, Non-Nehari manifold method for asymptotically periodic Schrödinger equations, Sci. China Math., 58, 715, 10.1007/s11425-014-4957-1
Tang, 2020, Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems, Sci. China Math., 63, 113, 10.1007/s11425-017-9332-3
van der Vorst, 1992, Variational identities and applications to differential systems, Arch. Ration. Mech. Anal., 116, 375, 10.1007/BF00375674
Willem, 1996
Zhao, 2013, On ground state solutions for superlinear Hamiltonian elliptic systems, Z. Angew. Math. Phys., 64, 403, 10.1007/s00033-012-0258-0