Existence of solutions for double-phase problems by topological degree

被引：0
作者：
Bin-Sheng Wang
Gang-Ling Hou
Bin Ge
机构：
[1] Harbin Engineering University,College of Aerospace and Civil Engineering
[2] Harbin Engineering University,College of Mathematical Sciences
来源：
Journal of Fixed Point Theory and Applications | 2021年 / 23卷
关键词：
Double-phase problem; Musielak–Orlicz space; pseudomonotone operators; topological degree; existence results; 35J40; 35J60; 35J70; 47H11;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The double-phase problem with a reaction term depending on the gradient is considered in this paper. Using the topological degree theory for a class of demicontinuous operators, we prove the existence of at least one solution of such problem. Our assumptions are suitable and different from those studied previously.
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  • [1] Zhikov VV(1986)Averaging of functionals of the calculus of variations and elasticity theory Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 50 675-710
  • [2] Zhikov VV(1997)On some variational problems Russ. J. Math. Phys. 5 105-116
  • [3] Zhikov VV(1995)On Lavrentiev’s Phenomenon Russ. J. Math. Phys. 3 249-269
  • [4] Perera K(2018)Existence results for double-phase problems via Morse theory Commun. Contemp. Math. 20 1-14
  • [5] Squassina M(2018)Double-phase problems with reaction of arbitrary growth Z. Angew. Math. Phys. 69 1-21
  • [6] Papageorgiou NS(2019)Double-phase problems and a discontinuity property of the spectrum Proc. Am. Math. Soc. 147 2899-2910
  • [7] Radulescu VD(2018)Double phase problems with variable growth Nonlinear Anal. Theor. Methods Appl. 177 270-287
  • [8] Repovs DD(2018)Double phase anisotropic variational problems and combined effects of reaction and absorption terms J. Math. Pures Appl. 118 159-203
  • [9] Papageorgiou NS(2019)Isotropic and anisotropic double-phase problems: old and new Opuscula Math. 39 259-279
  • [10] Radulescu VD(2019)On a class of double-phase problem without Ambrosetti–Robinowitz-type conditions Appl. Anal. 113 3185-3196
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