Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (2): 433-446.
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Received:
2021-08-05
Revised:
2022-04-25
Online:
2023-04-26
Published:
2023-04-17
Supported by:
CLC Number:
Ge Bin, Yuan Wenshuo. Existence and Multiplicity of Radial Solutions for Double Phase Problem on the Entire Space
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[1] |
Zhikov V V. On variational problems and nonlinear elliptic matrixs with nonstandard growth conditions. J Math Sci, 2011, 173: 463-570
doi: 10.1007/s10958-011-0260-7 |
[2] |
Bahrouni A, Rădulescu V D, Repovš D D. Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. Nonlinearity, 2019, 32: 2481-2495
doi: 10.1088/1361-6544/ab0b03 |
[3] |
Benci V, D'Avenia P, Fortunato D, Pisani L. Solitonsin severalspace dimensions: Derrick's problem and infinitely many solutions. Arch Ration Mech Anal, 2000, 154: 297-324
doi: 10.1007/s002050000101 |
[4] | Cherfils L, ll'yasov Y. On the stationary solutions of generalized reaction diffusion matrixs with $p\&q$-Laplacian. Commun Pure Appl Anal, 2005, 4: 9-22 |
[5] |
Liu W L, Dai G W. Existence and multiplicity results for double phase problem. J Differ Equ, 2018, 265: 4311-4334
doi: 10.1016/j.jde.2018.06.006 |
[6] | Hou G L, Ge B, Zhang B L, Wang L Y. Ground state sign-changing solutions for a class of double-phase problem in bounded domains. Bound Value Probl, 2020, 24: 1-21 |
[7] | Liu W L, Dai G W. Three ground state solutions for double phase problem. J Math Phys, 2018, 59: 121503 |
[8] | Perera K, Squassina M. Existence results for double-phase problems via Morse theory. Commun Contemp Math, 2018, 20: 1750023 |
[9] |
Gasinski L, Papageorgiou N S. Constant sign and nodal solutions for superlinear double phase problems. Adv Calc Var, 2021, 14(4): 613-626
doi: 10.1515/acv-2019-0040 |
[10] | Ge B, Chen Z Y. Existence of infinitely many solutions for double phase problem with sign-changing potential. Rev R Acad Cienc Exactas Fis Nat, Ser A Mat, 2019, 113: 3185-3196 |
[11] |
Gasinski L, Winkert P. Existence and uniqueness results for double phase problems with convection term. J Differ Equ, 2020, 268: 4183-4193
doi: 10.1016/j.jde.2019.10.022 |
[12] |
Wang B S, Hou G L, Ge B. Existence of solutions for double-phase problems by topological degree. J Fixed Point Theory Appl, 2021, 23: 1-11
doi: 10.1007/s11784-020-00835-z |
[13] | Zeng S D, Gasinski L, Winkert P, Bai Y R. Existence of solutions for double phase obstacle problems with multivalued convection term. J Math Anal Appl, 2021, 501: 123997 |
[14] | Zeng S D, Bai Y R, Gasinski L, Winkert P. Convergence analysis for double phase obstacle problems with multivalued convection term. Adv Nonlinear Anal, 2021, 10: 659-672 |
[15] |
Zeng S D, Bai Y R, Gasinski L, Winkert P. Existence results for double phase implicit obstacle problems involving multivalued operators. Calc Var Partial Differential Equations, 2020, 59: 1-18
doi: 10.1007/s00526-019-1640-y |
[16] | Marino G, Winkert P. Existence and uniqueness of elliptic systems with double phase operators and convection terms. J Math Anal Appl, 2020, 492: 124423 |
[17] | El Manouni S, Marino G, Winkert P. Existence results for double phase problems depending on Robin and Steklov eigenvalues for the $p$-Laplacian. Adv Nonlinear Anal, 2022, 11: 304-320 |
[18] |
Papageorgiou N S, Radulescu V R, Repovs D D. Double-phase problems and a discontinuity property of the spectrum. Proc Amer Math Soc, 2019, 147: 2899-2910
doi: 10.1090/proc/2019-147-07 |
[19] | Liu W L, Dai G W. Multiplicity results for double phase problems in $\mathbb{R} ^N$. J Math Phys, 2020, 61: 091508 |
[20] | Bae J H, Kim Y H. Critical points theorems via the generalized Ekeland variational principle and its application to matrixs of $p(x)$-Laplace type in $\mathbb{R} ^N$. Taiwanese J Math, 2019, 23: 193-229 |
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