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SUPERLINEAR: 作品数：73被引量：184H指数：7; 导出分析报告; 相关领域：理学更多>>; 相关作者：韦忠礼汪仲文冯恩民孙伟平葛渭高更多>>; 相关机构：山东建筑大学东北师范大学东南大学西北师范大学更多>>; 相关期刊：《Applied Mathematics》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金上海市教育委员会重点学科基金北京市自然科学基金更多>>

Resonant-Superlinear Nonhomogeneous Dirichlet Problems: 《Acta Mathematica Sinica,English Series》2023年第11期2091-2116,共26页Zhen Hai LIU Nikolaos S.PAPAGEORGIOU; NNSF of China(Grant No.12071413);NSF of Guangxi(Grant No.2023GXNSFAA026085);the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH。; We consider a Dirichlet nonlinear equation driven by the(p,2)-Laplacian and with a reaction having the competing effects of a parametric asymmetric superlinear term and a resonant perturbation.We show that for all sma...; 关键词：Asymmetric reaction resonance superlinear term nonlinear regularity comparison principle critical groups solutions with sign information

Sign-Changing Solutions for Superlinear Kirchhoff Type Problem via the Nehari Method: 《Journal of Applied Mathematics and Physics》2023年第7期2093-2102,共10页Xiaohan Duan Guanggang Liu; In this paper, we consider a class of Kirchhoff type problem with superlinear nonlinearity. A sign-changing solution with exactly two nodal domains will be obtained by combining the Nehari method and an iterative tech...; 关键词：Kirchhoff Type Problem Nehari Method Iterative Technique

Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory: 《Chinese Annals of Mathematics,Series B》2023年第1期49-66,共18页Bin GE Beilei ZHANG Wenshuo YUAN; supported by the National Natural Science Foundation of China (No. 11201095);the Fundamental Research Funds for the Central Universities (No. 3072022TS2402);the Postdoctoral research startup foundation of Heilongjiang (No. LBH-Q14044);the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province (No. LC201502); The aim of this paper is the study of a double phase problems involving superlinear nonlinearities with a growth that need not satisfy the Ambrosetti-Rabinowitz condition.Using variational tools together with suitable...; 关键词：Double phase problems Musielak-Orlicz space Variational method Critical groups Nonlinear regularity Multiple solution

A Class of Singular Coupled Systems of Superlinear Monge-Ampère Equations被引量：1: 《Acta Mathematicae Applicatae Sinica》2022年第4期925-942,共18页Mei-qiang FENG; supported by Beijing Natural Science Foundation under Grant No.1212003;the Promoting the Classified Development of Colleges and Universities-application and Cultivation of Scientific Research Awards of BISTU under Grant No.2021JLPY408。; In this paper,we analyze the existence,multiplicity and nonexistence of nontrivial radial convex solutions to the following system coupled by singular Monge-Ampère equations{det D^(2)u_(1)=λh_(1)f_(1)(-u_(2))inΩ,de...; 关键词：Two coupled Monge-Ampère equations Combined N-superlinear growth at∞ Singular weight functions EXISTENCE multiplicity and nonexistence Asymptotic behavior

QUASILINEAR EQUATIONS USING A LINKING STRUCTURE WITH CRITICAL NONLINEARITIES: 《Acta Mathematica Scientia》2022年第3期975-1002,共28页Edcarlos D.SILVA Jefferson S.SILVA; partially supported by CNPq with(429955/2018-9);partially suported by CNPq(309026/2020-2);FAPDF with(16809.78.45403.25042017)。; It is to establish existence of a weak solution for quasilinear elliptic problems assuming that the nonlinear term is critical.The potential V is bounded from below and above by positive constants.Because we are consi...; 关键词：Quasilinear Schrödinger equations linking theorems superlinear elliptic equations critical nonlinearities Bounded potentials

Superlinear Elliptic Equation with Mixed Boundary Value in Annular Domain: 《Acta Mathematica Sinica,English Series》2021年第10期1549-1559,共11页Jian TIAN Yuan Hong WEI; Supported by National Natural Science Foundation of China(Grant No.11871242);Natural Science Foundation of Jilin Province of China(Grant No.20200201248JC);the Fundamental Research Funds for the Central Universities。; In this paper,we study superlinear elliptic equations with mixed boundary value conditions in annular domains.It is assumed that the nonlinearities depend on the derivative terms.Some results about existence of soluti...; 关键词：Mixed boundary value annular domain radial solution gradient term iterative method

A superlinear numerical scheme for multi-term fractional nonlinear ordinary differential equations被引量：1: 《International Journal of Modeling, Simulation, and Scientific Computing》2020年第2期100-114,共15页Jingna Zhang Haobo Gong Sadia Arshad Jianfei Huang; supported by the National Natural Science Foundation of China(Grant Nos.11701502 and 11871065).; In this paper,we present a superlinear numerical method for multi-term fractional nonlinear ordinary differential equations(MTFNODEs).First,the presented problem is equivalently transformed into its integral form with...; 关键词：Multi-term fractional ordinary differential equations nonlinear system numerical method stability convergence

A Note on Existence of a Bound State for a Non-Autonomous Nonlinear Scalar Field Equation: 《Analysis in Theory and Applications》2019年第4期355-376,共22页Liliane A.Maia Elson L.Moura; partially supported by CNPq/Brazil;PROEX/CAPES;FAPDF 0193.001765/2017;partially supported by UFVJM.; The aim of this paper is to present a positive solution of a semilinear elliptic equation in RN with non-autonomous non-linearities which are not necessarily pure-powers,nor homogeneous,and which are superlinear or as...; 关键词：SCHRODINGER EQUATION ASYMPTOTICALLY linear SUPERLINEAR variational methods

Existence Results for Superlinear Elliptic Equations with Nonlinear Boundary Value Conditions: 《Acta Mathematica Sinica,English Series》2019年第10期1655-1680,共26页Xiao Hui YU; Supported by NSFC(Grant Nos.11771300 and 11726634); In this paper, we study the existence of solutions for the following superlinear elliptic equation with nonlinear boundary value condition{-△u+u=|u|^r-2u in Ω,■u/■v=|u|^q-2u on ■Ω, where Ω■R^N, N≥3 is a bound...; 关键词：Existence result critical EXPONENT trace INEQUALITY NONLINEAR boundary value (PS) condition

The coexistence of quasi-periodic and blow-up solutions in a superlinear Duffing equation: 《Science China Mathematics》2018年第9期1589-1602,共14页Yanmei Sun Xiong Li; supported by National Natural Science Foundation of China (Grant No.11571041);the Fundamental Research Funds for the Central Universities; In this paper, we construct a continuous positive periodic function p(t) such that the corresponding superlinear Duffing equation x′′+ a(x)^(x2n+1)+p(t)x^(2m+1)= 0, n + 2≤2 m+1<2n+1 possesses a solution which escap...; 关键词：superlinear Duffing equations BLOW-UP quasi-periodic solutions

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