## Guo, Yuxia

Compute Distance To:
 Author ID: guo.yuxia Published as: Guo, Yuxia; Guo, Yu-Xia
 Documents Indexed: 105 Publications since 1998 Reviewing Activity: 41 Reviews Co-Authors: 36 Co-Authors with 88 Joint Publications 1,060 Co-Co-Authors
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### Co-Authors

 8 single-authored 18 Liu, Jiaquan 10 Tang, Zhongwei 9 Gao, Fengshuang 8 Liu, Ting 8 Nie, Jianjun 8 Yan, Shusen 6 Li, Bo 6 Liu, Xiangqing 5 Yao, Pengfei 4 Peng, Shaolong 4 Peng, Shuangjie 4 Wei, Juncheng 3 Chai, Shugen 3 Li, Benniao 3 Zeng, Pingan 3 Zhang, Yajing 2 Chen, Yongpeng 2 Deng, Yinbin 2 Musso, Monica 2 Pistoia, Angela 2 Wang, Zhi-Qiang 1 Bartsch, Thomas J. 1 Cao, Daomin 1 Chen, Guangzhong 1 Colton, David Lem 1 Costa, David Goldstein 1 Domingos, Ana Rute 1 Du, Yihong 1 Gao, Huajian 1 Hu, Yichen 1 Huang, Yonggang Young 1 Hwang, Keh-Chi 1 Ji, An-Chun 1 Liu, Jiaqun 1 Luo, Senping 1 Mcnutt, A. 1 Monk, Peter B. 1 Niu, Miaomiao 1 Qin, Yizhao 1 Ramos, Miguel 1 Wang, Lushun 1 Yuan, Ruyi 1 Zhao, Fukun 1 Zou, Wenming
all top 5

### Serials

 9 Journal of Differential Equations 8 Discrete and Continuous Dynamical Systems 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Advanced Nonlinear Studies 6 Journal of Mathematical Analysis and Applications 5 Calculus of Variations and Partial Differential Equations 4 Communications in Contemporary Mathematics 4 Communications on Pure and Applied Analysis 3 Journal of Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Functional Analysis 2 Pacific Journal of Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Fixed Point Theory and Applications 2 Discrete and Continuous Dynamical Systems. Series S 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 International Journal of Solids and Structures 1 Inverse Problems 1 Nonlinearity 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Journal of Systems Science and Mathematical Sciences 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mechanics 1 Mathematica Applicata 1 Differential and Integral Equations 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Partial Differential Equations 1 Methods and Applications of Analysis 1 Advances in Differential Equations 1 Acta Mathematica Sinica. English Series 1 Acta Analysis Functionalis Applicata. AAFA 1 Journal of Turbulence 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Nonlinear Oscillations 1 Frontiers of Mathematics in China 1 Scientia Sinica. Mathematica 1 SN Partial Differential Equations and Applications
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### Fields

 89 Partial differential equations (35-XX) 20 Global analysis, analysis on manifolds (58-XX) 10 Operator theory (47-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of deformable solids (74-XX) 4 Potential theory (31-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Relativity and gravitational theory (83-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

73 Publications have been cited 525 times in 381 Documents Cited by Year
Liouville type theorems for positive solutions of elliptic system in $$\mathbb R^N$$. Zbl 1139.35305
Guo, Yuxia; Liu, Jiaquan
2008
Liouville-type theorems for polyharmonic systems in $$\mathbb R^N$$. Zbl 1147.35316
Liu, Jiaqun; Guo, Yuxia; Zhang, Yajing
2006
Local uniqueness and periodicity induced by concentration. Zbl 1378.35143
Guo, Yuxia; Peng, Shuangjie; Yan, Shusen
2017
Liouville-type theorems for polyharmonic equations in $$\mathbb{R}^N$$ and in $$\mathbb{R}^N_+$$. Zbl 1153.35028
Guo, Yuxia; Liu, Jiaquan
2008
Multibump solutions for quasilinear elliptic equations. Zbl 1247.35045
Liu, Jia-Quan; Wang, Zhi-Qiang; Guo, Yu-Xia
2012
Existence and multiplicity of nontrivial solutions for $$p$$-Laplacian Schrödinger-Kirchhoff-type equations. Zbl 1318.35021
Guo, Yuxia; Nie, Jianjun
2015
Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in $$\mathbb R^3$$. Zbl 1288.35232
Guo, Yuxia; Li, Bo; Wei, Juncheng
2014
Existence of positive entire solutions for polyharmonic equations and systems. Zbl 1284.35033
Liu, Jiaquan; Guo, Yuxia; Zhang, Yajing
2006
Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance. Zbl 0983.37075
Guo, Yuxia
2001
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
2013
Existence and nonexistence results for critical growth polyharmonic elliptic systems. Zbl 1189.35083
Bartsch, Thomas; Guo, Yuxia
2006
Ground state solutions for quasilinear Schrödinger systems. Zbl 1236.35036
Guo, Yuxia; Tang, Zhongwei
2012
Solutions of $$p$$-sublinear $$p$$-Laplacian equation via Morse theory. Zbl 1161.35405
Guo, Yuxia; Liu, Jiaquan
2005
Boundary stabilization of wave equations with variable coefficients and memory. Zbl 1174.35301
Chai, Shugen; Guo, Yuxia
2004
Infinitely many solutions for the prescribed curvature problem of polyharmonic operator. Zbl 1262.53035
Guo, Yuxia; Li, Bo
2013
Ground state solutions for the quasilinear Schrödinger equation. Zbl 1234.35246
Guo, Yuxia; Tang, Zhongwei
2012
Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback. Zbl 1090.93038
Guo, Yuxia; Yao, Pengfei
2006
Critical point theory for nonsmooth functionals. Zbl 1117.58008
Liu, Jiaquan; Guo, Yuxia
2007
Blow-up analysis for solutions of the Laplacian equation with exponential Neumann boundary condition in dimension two. Zbl 1197.35118
Guo, Yuxia; Liu, Jiaquan
2006
Boundary feedback stabilization of shallow shells. Zbl 1055.93065
Chai, Shugen; Guo, Yuxia; Yao, Peng-Fei
2003
Local uniqueness for vortex patch problem in incompressible planar steady flow. Zbl 1436.35153
Cao, Daomin; Guo, Yuxia; Peng, Shuangjie; Yan, Shusen
2019
On a Brezis-Nirenberg type quasilinear problem. Zbl 1372.35112
Guo, Yuxia; Liu, Jiaquan; Wang, Zhi-Qiang
2017
Nontrivial solutions for resonant noncooperative elliptic systems. Zbl 1072.35531
Guo, Yuxia
2000
Multi-bump solutions for Schrödinger equation involving critical growth and potential wells. Zbl 1346.35071
Guo, Yuxia; Tang, Zhongwei
2015
Multi-bump bound state solutions for the quasilinear Schrödinger equation with critical frequency. Zbl 1308.35269
Guo, Yuxia; Tang, Zhongwei
2014
Existence of solutions for quasilinear elliptic equations with Hardy potential. Zbl 1338.35155
Deng, Yinbin; Guo, Yuxia; Liu, Jiaquan
2016
Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator. Zbl 06661533
Guo, Yuxia; Nie, Jianjun
2016
Taylor-based nonlocal theory of plasticity: Numerical studies of the micro-indentation experiments and crack tip fields. Zbl 1006.74079
Guo, Y.; Huang, Y.; Gao, H.; Zhuang, Z.; Hwang, K. C.
2001
Solutions for quasilinear Schrödinger systems with critical exponents. Zbl 1327.35096
Guo, Yuxia; Li, Bo
2015
A new Morse index theory for strongly indefinite functionals. Zbl 1061.58010
Guo, Yuxia; Liu, Jiaquan; Zeng, Pingan
2004
Multiple solutions for critical quasilinear elliptic equations. Zbl 1404.35188
Deng, Yinbin; Guo, Yuxia; Yan, Shusen
2019
Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells. Zbl 1326.35347
Guo, Yuxia; Tang, Zhongwei
2015
On an asymptotically $$p$$-linear $$p$$-Laplacian equation in $$\mathbb R^N$$. Zbl 1203.35120
Liu, Jiaquan; Liu, Xiangqing; Guo, Yuxia
2011
Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities. Zbl 1432.35221
Guo, Yuxia; Liu, Ting; Nie, Jianjun
2020
Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications. Zbl 1444.35070
Guo, Yuxia; Musso, Monica; Peng, Shuangjie; Yan, Shusen
2020
Construction of solutions for the polyharmonic equation via local Pohozaev identities. Zbl 1421.35081
Guo, Yuxia; Liu, Ting; Nie, Jianjun
2019
Large energy entire solutions for the Yamabe type problem of polyharmonic operator. Zbl 1310.35047
Guo, Yuxia; Li, Bo; Wei, Juncheng
2013
Multibump bound states for quasilinear Schrödinger systems with critical frequency. Zbl 1266.35057
Guo, Yuxia; Tang, Zhongwei
2012
Local uniqueness and periodicity for the prescribed scalar curvature problem of fractional operator in $${\mathbb {R}}^{N}$$. Zbl 1376.35045
Guo, Yuxia; Nie, Jianjun; Niu, Miaomiao; Tang, Zhongwei
2017
The existence, uniqueness and nonexistence of the ground state to the $$N$$-coupled Schrödinger systems in $${\mathbb R}^n(n\leqslant 4)$$. Zbl 1378.35032
Guo, Yuxia; Luo, Senping; Zou, Wenming
2018
Infinitely many solutions for quasilinear Schrödinger systems with finite and sign-changing potentials. Zbl 1341.35066
Guo, Yuxia; Nie, Jianjun
2016
Morse theory for strongly indefinite functional. Zbl 1013.37023
Guo, Y. X.; Liu, J. Q.
2002
A note on a Liouville-type result for a system of fourth-order equations in $$\mathbb R^N$$. Zbl 1068.35512
Rute Domingos, Ana; Guo, Yuxia
2002
Mountain pass solutions and an indefinite superlinear elliptic problem of $$\mathbb R^N$$. Zbl 1254.35066
Du, Yihong; Guo, Yuxia
2003
Non-existence, monotonicity for positive solutions of semilinear elliptic system in $$\mathbb R^N_+$$. Zbl 1196.35083
Guo, Yuxia
2010
Multiple solutions for a critical quasilinear equation with Hardy potential. Zbl 1432.35088
Gao, Fengshuang; Guo, Yuxia
2019
Infinitely many non-radial solutions for the polyharmonic Hénon equation with a critical exponent. Zbl 1371.35121
Guo, Yuxia; Li, Bo; Li, Yi
2017
Computations of critical groups and applications to asymptotically linear wave equation and beam equation. Zbl 1073.35147
Zeng, Pingan; Liu, Jiaquan; Guo, Yuxia
2004
Supercritical biharmonic elliptic problems in domains with small holes. Zbl 1187.35047
Guo, Yuxia; Wei, Juncheng
2009
Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations. Zbl 1465.35394
Guo, Yuxia; Peng, Shaolong
2021
The Schrödinger-Newton system with self-field coupling. Zbl 1310.83031
Franklin, J.; Guo, Y.; Mcnutt, A.; Morgan, A.
2015
On boundary stability of wave equations with variable coefficients. Zbl 1029.35159
Guo, Yuxia; Yao, Pengfei
2002
Infinitely many non-radial solutions to a critical equation on annulus. Zbl 1405.35061
Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen
2018
Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system. Zbl 1187.37024
Guo, Yuxia; Liu, Jiaquan
2009
Nonexistence of positive solutions for polyharmonic systems in $$\mathbb R^N$$. Zbl 1133.35003
Guo, Yuxia; Liu, Jiaquan; Zhang, Yajing
2007
Classification for positive solutions of degenerate elliptic system. Zbl 1407.35009
Guo, Yuxia; Nie, Jianjun
2019
Solutions for singular $$p$$-Laplacian equation in $$R^{n}$$. Zbl 1300.35039
Liu, Xiangqing; Guo, Yuxia; Liu, Jiaquan
2009
Positive solutions for quasilinear systems with critical growth. Zbl 1296.35059
Guo, Yuxia; Liu, Xiangqing; Zhao, Fukun
2013
A pure bending exact nodal-averaged shear strain method for finite element plate analysis. Zbl 1298.74241
Wu, C. T.; Guo, Y.; Wang, D.
2014
Existence and multiplicity results for nonlinear elliptic problems in $$\mathbb{R}^N$$ with an indefinite functional. Zbl 1008.35014
Costa, David G.; Guo, Yuxia; Ramos, Miguel
2002
Computations of critical groups at a degenerate critical point for strongly indefinite functionals. Zbl 0982.58009
Guo, Yuxia
2001
Stabilization of elastic plates with variable coefficients and dynamical boundary control. Zbl 1028.93027
Guo, Yuxia; Chai, Shugen; Yao, Pengfei
2002
The most intensive fluctuation in chaotic time series and relativity principle. Zbl 1033.83006
Liu, S. D.; Liu, S. K.; Fu, Z. T.; Ren, K.; Guo, Y.
2003
Morse theory for strongly indefinite functional and its applications. Zbl 1070.58010
Guo, Yuxia
2003
Exact number of single bubbling solutions for elliptic problems of Ambrosetti-Prodi type. Zbl 1436.35197
Guo, Yuxia; Li, Benniao; Yan, Shusen
2020
Iterative solution on a class of nonlinear operator equation. Zbl 1011.65501
Guo, Yuxia
1999
Nonexistence of positive finite Morse index solutions to an elliptic problem with singular nonlinearity. Zbl 1173.35471
Guo, Yuxia; Wei, Juncheng
2008
Periodic solutions for an asymptotically linear wave equation with resonance. Zbl 1151.35369
Guo, Yuxia; Liu, Jiaquan
2007
Sign-changing solutions for an asymptotically $$p$$-linear $$p$$-Laplacian equation in $$\mathbb R^N$$. Zbl 1270.35244
Liu, Xiangqing; Guo, Yuxia
2013
A multiple critical points theorem and applications to quasilinear boundary value problems in $$\mathbf R^N_+$$. Zbl 1241.35108
Guo, Yuxia; Liu, Xiangqing
2012
Solutions for critical quasilinear elliptic equations in $$\mathbb{R}^N$$. Zbl 1412.35134
Gao, Fengshuang; Guo, Yuxia
2019
The fractional Brezis-Nirenberg problems on lower dimensions. Zbl 1471.35158
Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen
2021
Large energy bubble solutions for Schrödinger equation with supercritical growth. Zbl 1472.35109
Guo, Yuxia; Liu, Ting
2021
Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations. Zbl 1465.35394
Guo, Yuxia; Peng, Shaolong
2021
The fractional Brezis-Nirenberg problems on lower dimensions. Zbl 1471.35158
Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen
2021
Large energy bubble solutions for Schrödinger equation with supercritical growth. Zbl 1472.35109
Guo, Yuxia; Liu, Ting
2021
Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities. Zbl 1432.35221
Guo, Yuxia; Liu, Ting; Nie, Jianjun
2020
Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications. Zbl 1444.35070
Guo, Yuxia; Musso, Monica; Peng, Shuangjie; Yan, Shusen
2020
Exact number of single bubbling solutions for elliptic problems of Ambrosetti-Prodi type. Zbl 1436.35197
Guo, Yuxia; Li, Benniao; Yan, Shusen
2020
Local uniqueness for vortex patch problem in incompressible planar steady flow. Zbl 1436.35153
Cao, Daomin; Guo, Yuxia; Peng, Shuangjie; Yan, Shusen
2019
Multiple solutions for critical quasilinear elliptic equations. Zbl 1404.35188
Deng, Yinbin; Guo, Yuxia; Yan, Shusen
2019
Construction of solutions for the polyharmonic equation via local Pohozaev identities. Zbl 1421.35081
Guo, Yuxia; Liu, Ting; Nie, Jianjun
2019
Multiple solutions for a critical quasilinear equation with Hardy potential. Zbl 1432.35088
Gao, Fengshuang; Guo, Yuxia
2019
Classification for positive solutions of degenerate elliptic system. Zbl 1407.35009
Guo, Yuxia; Nie, Jianjun
2019
Solutions for critical quasilinear elliptic equations in $$\mathbb{R}^N$$. Zbl 1412.35134
Gao, Fengshuang; Guo, Yuxia
2019
The existence, uniqueness and nonexistence of the ground state to the $$N$$-coupled Schrödinger systems in $${\mathbb R}^n(n\leqslant 4)$$. Zbl 1378.35032
Guo, Yuxia; Luo, Senping; Zou, Wenming
2018
Infinitely many non-radial solutions to a critical equation on annulus. Zbl 1405.35061
Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen
2018
Local uniqueness and periodicity induced by concentration. Zbl 1378.35143
Guo, Yuxia; Peng, Shuangjie; Yan, Shusen
2017
On a Brezis-Nirenberg type quasilinear problem. Zbl 1372.35112
Guo, Yuxia; Liu, Jiaquan; Wang, Zhi-Qiang
2017
Local uniqueness and periodicity for the prescribed scalar curvature problem of fractional operator in $${\mathbb {R}}^{N}$$. Zbl 1376.35045
Guo, Yuxia; Nie, Jianjun; Niu, Miaomiao; Tang, Zhongwei
2017
Infinitely many non-radial solutions for the polyharmonic Hénon equation with a critical exponent. Zbl 1371.35121
Guo, Yuxia; Li, Bo; Li, Yi
2017
Existence of solutions for quasilinear elliptic equations with Hardy potential. Zbl 1338.35155
Deng, Yinbin; Guo, Yuxia; Liu, Jiaquan
2016
Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator. Zbl 06661533
Guo, Yuxia; Nie, Jianjun
2016
Infinitely many solutions for quasilinear Schrödinger systems with finite and sign-changing potentials. Zbl 1341.35066
Guo, Yuxia; Nie, Jianjun
2016
Existence and multiplicity of nontrivial solutions for $$p$$-Laplacian Schrödinger-Kirchhoff-type equations. Zbl 1318.35021
Guo, Yuxia; Nie, Jianjun
2015
Multi-bump solutions for Schrödinger equation involving critical growth and potential wells. Zbl 1346.35071
Guo, Yuxia; Tang, Zhongwei
2015
Solutions for quasilinear Schrödinger systems with critical exponents. Zbl 1327.35096
Guo, Yuxia; Li, Bo
2015
Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells. Zbl 1326.35347
Guo, Yuxia; Tang, Zhongwei
2015
The Schrödinger-Newton system with self-field coupling. Zbl 1310.83031
Franklin, J.; Guo, Y.; Mcnutt, A.; Morgan, A.
2015
Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in $$\mathbb R^3$$. Zbl 1288.35232
Guo, Yuxia; Li, Bo; Wei, Juncheng
2014
Multi-bump bound state solutions for the quasilinear Schrödinger equation with critical frequency. Zbl 1308.35269
Guo, Yuxia; Tang, Zhongwei
2014
A pure bending exact nodal-averaged shear strain method for finite element plate analysis. Zbl 1298.74241
Wu, C. T.; Guo, Y.; Wang, D.
2014
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
2013
Infinitely many solutions for the prescribed curvature problem of polyharmonic operator. Zbl 1262.53035
Guo, Yuxia; Li, Bo
2013
Large energy entire solutions for the Yamabe type problem of polyharmonic operator. Zbl 1310.35047
Guo, Yuxia; Li, Bo; Wei, Juncheng
2013
Positive solutions for quasilinear systems with critical growth. Zbl 1296.35059
Guo, Yuxia; Liu, Xiangqing; Zhao, Fukun
2013
Sign-changing solutions for an asymptotically $$p$$-linear $$p$$-Laplacian equation in $$\mathbb R^N$$. Zbl 1270.35244
Liu, Xiangqing; Guo, Yuxia
2013
Multibump solutions for quasilinear elliptic equations. Zbl 1247.35045
Liu, Jia-Quan; Wang, Zhi-Qiang; Guo, Yu-Xia
2012
Ground state solutions for quasilinear Schrödinger systems. Zbl 1236.35036
Guo, Yuxia; Tang, Zhongwei
2012
Ground state solutions for the quasilinear Schrödinger equation. Zbl 1234.35246
Guo, Yuxia; Tang, Zhongwei
2012
Multibump bound states for quasilinear Schrödinger systems with critical frequency. Zbl 1266.35057
Guo, Yuxia; Tang, Zhongwei
2012
A multiple critical points theorem and applications to quasilinear boundary value problems in $$\mathbf R^N_+$$. Zbl 1241.35108
Guo, Yuxia; Liu, Xiangqing
2012
On an asymptotically $$p$$-linear $$p$$-Laplacian equation in $$\mathbb R^N$$. Zbl 1203.35120
Liu, Jiaquan; Liu, Xiangqing; Guo, Yuxia
2011
Non-existence, monotonicity for positive solutions of semilinear elliptic system in $$\mathbb R^N_+$$. Zbl 1196.35083
Guo, Yuxia
2010
Supercritical biharmonic elliptic problems in domains with small holes. Zbl 1187.35047
Guo, Yuxia; Wei, Juncheng
2009
Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system. Zbl 1187.37024
Guo, Yuxia; Liu, Jiaquan
2009
Solutions for singular $$p$$-Laplacian equation in $$R^{n}$$. Zbl 1300.35039
Liu, Xiangqing; Guo, Yuxia; Liu, Jiaquan
2009
Liouville type theorems for positive solutions of elliptic system in $$\mathbb R^N$$. Zbl 1139.35305
Guo, Yuxia; Liu, Jiaquan
2008
Liouville-type theorems for polyharmonic equations in $$\mathbb{R}^N$$ and in $$\mathbb{R}^N_+$$. Zbl 1153.35028
Guo, Yuxia; Liu, Jiaquan
2008
Nonexistence of positive finite Morse index solutions to an elliptic problem with singular nonlinearity. Zbl 1173.35471
Guo, Yuxia; Wei, Juncheng
2008
Critical point theory for nonsmooth functionals. Zbl 1117.58008
Liu, Jiaquan; Guo, Yuxia
2007
Nonexistence of positive solutions for polyharmonic systems in $$\mathbb R^N$$. Zbl 1133.35003
Guo, Yuxia; Liu, Jiaquan; Zhang, Yajing
2007
Periodic solutions for an asymptotically linear wave equation with resonance. Zbl 1151.35369
Guo, Yuxia; Liu, Jiaquan
2007
Liouville-type theorems for polyharmonic systems in $$\mathbb R^N$$. Zbl 1147.35316
Liu, Jiaqun; Guo, Yuxia; Zhang, Yajing
2006
Existence of positive entire solutions for polyharmonic equations and systems. Zbl 1284.35033
Liu, Jiaquan; Guo, Yuxia; Zhang, Yajing
2006
Existence and nonexistence results for critical growth polyharmonic elliptic systems. Zbl 1189.35083
Bartsch, Thomas; Guo, Yuxia
2006
Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback. Zbl 1090.93038
Guo, Yuxia; Yao, Pengfei
2006
Blow-up analysis for solutions of the Laplacian equation with exponential Neumann boundary condition in dimension two. Zbl 1197.35118
Guo, Yuxia; Liu, Jiaquan
2006
Solutions of $$p$$-sublinear $$p$$-Laplacian equation via Morse theory. Zbl 1161.35405
Guo, Yuxia; Liu, Jiaquan
2005
Boundary stabilization of wave equations with variable coefficients and memory. Zbl 1174.35301
Chai, Shugen; Guo, Yuxia
2004
A new Morse index theory for strongly indefinite functionals. Zbl 1061.58010
Guo, Yuxia; Liu, Jiaquan; Zeng, Pingan
2004
Computations of critical groups and applications to asymptotically linear wave equation and beam equation. Zbl 1073.35147
Zeng, Pingan; Liu, Jiaquan; Guo, Yuxia
2004
Boundary feedback stabilization of shallow shells. Zbl 1055.93065
Chai, Shugen; Guo, Yuxia; Yao, Peng-Fei
2003
Mountain pass solutions and an indefinite superlinear elliptic problem of $$\mathbb R^N$$. Zbl 1254.35066
Du, Yihong; Guo, Yuxia
2003
The most intensive fluctuation in chaotic time series and relativity principle. Zbl 1033.83006
Liu, S. D.; Liu, S. K.; Fu, Z. T.; Ren, K.; Guo, Y.
2003
Morse theory for strongly indefinite functional and its applications. Zbl 1070.58010
Guo, Yuxia
2003
Morse theory for strongly indefinite functional. Zbl 1013.37023
Guo, Y. X.; Liu, J. Q.
2002
A note on a Liouville-type result for a system of fourth-order equations in $$\mathbb R^N$$. Zbl 1068.35512
Rute Domingos, Ana; Guo, Yuxia
2002
On boundary stability of wave equations with variable coefficients. Zbl 1029.35159
Guo, Yuxia; Yao, Pengfei
2002
Existence and multiplicity results for nonlinear elliptic problems in $$\mathbb{R}^N$$ with an indefinite functional. Zbl 1008.35014
Costa, David G.; Guo, Yuxia; Ramos, Miguel
2002
Stabilization of elastic plates with variable coefficients and dynamical boundary control. Zbl 1028.93027
Guo, Yuxia; Chai, Shugen; Yao, Pengfei
2002
Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance. Zbl 0983.37075
Guo, Yuxia
2001
Taylor-based nonlocal theory of plasticity: Numerical studies of the micro-indentation experiments and crack tip fields. Zbl 1006.74079
Guo, Y.; Huang, Y.; Gao, H.; Zhuang, Z.; Hwang, K. C.
2001
Computations of critical groups at a degenerate critical point for strongly indefinite functionals. Zbl 0982.58009
Guo, Yuxia
2001
Nontrivial solutions for resonant noncooperative elliptic systems. Zbl 1072.35531
Guo, Yuxia
2000
Iterative solution on a class of nonlinear operator equation. Zbl 1011.65501
Guo, Yuxia
1999
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### Cited by 404 Authors

 44 Guo, Yuxia 13 Tang, Xianhua 12 Liu, Jiaquan 12 Tang, Zhongwei 9 Peng, Shuangjie 9 Yao, Pengfei 9 Yu, Xiaohui 8 Liu, Xiangqing 8 Wang, Zhi-Qiang 8 Yan, Shusen 7 Cao, Daomin 7 Chai, Shugen 7 Dou, Jingbo 7 Liu, Ting 7 Nie, Jianjun 7 Wang, Chunhua 6 Chen, Caisheng 6 Clapp, Mónica 6 Li, Congming 6 Luo, Peng 6 Pistoia, Angela 6 Rădulescu, Vicenţiu D. 6 Villavert, John 6 Wu, Jieqiong 5 Gao, Fengshuang 5 Li, Shengjia 5 Peng, Shaolong 5 Yang, Xian Yong 5 Zhou, Chunqin 4 Chen, Goong 4 Chen, Sitong 4 Chen, Yongpeng 4 Cheng, Ze 4 Da Silva, Edcarlos Domingos 4 Jiao, Yujuan 4 Liu, Zhaoli 4 Phan, Quoc Hung 4 Tian, ShuYing 4 Wan, Jie 4 Wu, Xian 4 Wu, Yuanze 3 Alves, Claudianor Oliveira 3 Cheng, Bitao 3 Cheng, Rong 3 Ghergu, Marius 3 Hao, Jianghao 3 Huang, Genggeng 3 Ji, Chao 3 Jing, Yongtao 3 Lei, Yutian 3 Li, Benniao 3 Li, Jing 3 Liu, Haidong 3 Liu, Yuxiang 3 Liu, Zhongyuan 3 Lü, Dengfeng 3 Lu, Guozhen 3 Montenegro, Marcos 3 Repovš, Dušan D. 3 Schiera, Delia 3 Silva, Maxwell L. 3 Taliaferro, Steven D. 3 Tanaka, Mieko 3 Tavares, Hugo 3 Teng, Kaimin 3 Vétois, Jérôme 3 Wang, Guodong 3 Wang, Yanli 3 Wei, Juncheng 3 Xiang, Changlin 3 Yang, Fengyan 3 Zhan, Weicheng 3 Zhang, Yajing 3 Zhang, Youpei 3 Zhao, Fukun 3 Zhao, Junfang 3 Zou, Wenming 2 Arthur, Frank 2 Bao, Jiguang 2 Bao, Jinfeng 2 Barbosa, Ezequiel R. 2 Battaglia, Luca 2 Bin-Mohsin, Bandar 2 Chen, Haibo 2 Chen, Jianhua 2 Chen, Shaowei 2 Chen, Wenxiong 2 Dai, Wei 2 de Albuquerque, José Carlos 2 Duong, Anh Tuan 2 Fang, Fei 2 Fang, Yanqin 2 Ge, Weigao 2 Grossi, Massimo 2 Gui, Changfeng 2 Guo, Bao-Zhu 2 Guo, Qing 2 Guo, Zongming 2 He, Qihan 2 Hu, Yeyao ...and 304 more Authors
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### Cited in 81 Serials

 36 Journal of Mathematical Analysis and Applications 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Journal of Differential Equations 23 Discrete and Continuous Dynamical Systems 22 Communications on Pure and Applied Analysis 21 Calculus of Variations and Partial Differential Equations 12 Advanced Nonlinear Studies 10 Journal of Mathematical Physics 10 Boundary Value Problems 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Nonlinear Analysis. Real World Applications 8 Complex Variables and Elliptic Equations 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Topological Methods in Nonlinear Analysis 6 Applicable Analysis 6 Journal of Functional Analysis 6 Acta Mathematica Sinica. English Series 6 Communications in Contemporary Mathematics 5 Acta Applicandae Mathematicae 5 Applied Mathematics Letters 5 Journal of Systems Science and Complexity 5 Discrete and Continuous Dynamical Systems. Series S 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Mathematical Analysis 4 Advances in Nonlinear Analysis 3 Computers & Mathematics with Applications 3 Mathematical Methods in the Applied Sciences 3 Mathematische Annalen 3 Abstract and Applied Analysis 3 Taiwanese Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Science China. Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Nonlinearity 2 Advances in Mathematics 2 Manuscripta Mathematica 2 Proceedings of the American Mathematical Society 2 Systems & Control Letters 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete Dynamics in Nature and Society 2 Journal of Mathematical Fluid Mechanics 2 Journal of Dynamical and Control Systems 2 Mediterranean Journal of Mathematics 2 Frontiers of Mathematics in China 1 Archive for Rational Mechanics and Analysis 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Asymptotic Analysis 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Fixed Point Theory and Applications 1 Advances in Mathematical Physics 1 Symmetry 1 Afrika Matematika 1 Communications in Mathematics and Statistics 1 Journal of Mathematics 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications
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### Cited in 19 Fields

 341 Partial differential equations (35-XX) 49 Global analysis, analysis on manifolds (58-XX) 25 Integral equations (45-XX) 22 Ordinary differential equations (34-XX) 19 Systems theory; control (93-XX) 18 Operator theory (47-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Fluid mechanics (76-XX) 10 Mechanics of deformable solids (74-XX) 9 Potential theory (31-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Numerical analysis (65-XX)