| 1 | Ambrosetti A , Rabinowitz P H . Dual variational methods in critical point theory and applications. J Funct Anal, 1973, 14, 347- 381 | | 2 | Costa D G , Magalh?es C A . Variational elliptic problems which are nonquadratic at infinity. Nonlinear Anal, 1994, 23, 1401- 1412 | | 3 | Fang F , Liu S B . Nontrivial solutions of superlinear p-Laplacian equations. J Math Analysis Applic, 2009, 351, 138- 146 | | 4 | Furtado M F , Silva E D . Superlinear elliptic problems under the non-quadraticity condition at infinity. Proc Roy Soc Edinburgh Sect A, 2015, 145 (4): 779- 790 | | 5 | Ke X F , Tang C L . Existence and multiplicity of solutions to semilinear elliptic equation with nonlinear term of superlinear and subcritical growth. Electron J Differential Equations, 2018, 88, 1- 17 | | 6 | Lan Y Y , Ta ng , C L . Existence of solutions to a class of semilinear elliptic equations involving general subcritical growth. Proc Roy Soc Edinburgh Sect A, 2014, 144 (4): 809- 818 | | 7 | Liu Z , Wang Z Q . On the Ambrosetti-Rabinowitz super-linear condition. Advanced Nonlinear Studies, 2004, 4 (4): 563- 574 | | 8 | Miyagaki O H , Souto M A S . Superlinear problems without Ambrosetti and Rabinowitz growth condition. J Differential Equations, 2008, 245, 3628- 3638 | | 9 | Schechter M , Zou W M . Superlinear problems. Pacific J Math, 2004, 214, 145- 160 | | 10 | Komiya Y , Kajikiya R . Existence of infinitely many solutions for the (p, q)-Laplace equation. NoDEA Nonlinear Differential Equations Appl, 2016, 23 (49): 1- 23 | | 11 | Alves C O , Ercole G , Huamán Bola?os M D . Ground state solutions for a semilinear elliptic problem with critical-subcritical growth. Adv Nonlinear Anal, 2020, 9 (1): 108- 123 | | 12 | Cao D M , Li S L , Liu Z Y . Nodal solutions for a supercritical semilinear problem with variable exponent. Calc Var Partial Differential Equations, 2018, 57, 19- 38 | | 13 | Hashizume M , Sano M . Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent. J Funct Spaces, 2018, Article ID: 5497172 | | 14 | Kurata K , Shioji N . Compact embedding from $W_{0}^{1, 2}(\Omega)$ to $L^{q(x)}(\Omega)$ and its application to nonlinear elliptic boundary value problem with variable critical exponent. J Math Anal Appl, 2018, 339 (2): 1386- 1394 | | 15 | Liu J , Liao J F , Tang C L . Ground state solutions for semilinear elliptic equations with zero mass in $\mathbb{R}^{N}$. Electron J Differential Equations, 2015, 84, 1- 11 | | 16 | Marcos do J , Ruf B , Ubilla P . On supercritical Sobolev type inequalities and related elliptic equations. Calc Var Partial Differential Equations, 2016, 55 (4): 55- 83 | | 17 | Liu X Q , Zhao J F . p-Laplacian equations in $\mathbb{R}^{N}$ with finite potential via truncation method. Adv Nonlinear Anal, 2017, 17 (3): 595- 610 | | 18 | Vazquez J L . A strong maximum principle for some quasilinear elliptic equations. Appl Math Optim, 1984, 12 (3): 191- 202 |
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