Edit Profile (opens in new tab) Guo, Yuxia Co-Author Distance Author ID: guo.yuxia Published as: Guo, Yuxia; Guo, Yu-Xia Documents Indexed: 125 Publications since 1998, including 5 Additional arXiv Preprints Reviewing Activity: 41 Reviews Co-Authors: 43 Co-Authors with 114 Joint Publications 1,261 Co-Co-Authors all top 5 Co-Authors 8 single-authored 18 Liu, Jiaquan 13 Liu, Ting 11 Hu, Yichen 11 Peng, Shaolong 11 Yan, Shusen 10 Nie, Jianjun 10 Tang, Zhongwei 9 Gao, Fengshuang 6 Li, Bo 6 Liu, Xiangqing 6 Peng, Shuangjie 5 Yao, Pengfei 4 Wei, Juncheng 3 Chai, Shugen 3 Li, Benniao 3 Wu, Shengyu 3 Zeng, Pingan 3 Zhang, Yajing 2 Chen, Yongpeng 2 Deng, Yinbin 2 Li, Dewei 2 Musso, Monica 2 Pistoia, Angela 2 Wang, Zhi-Qiang 1 Bartsch, Thomas J. 1 Cao, Daomin 1 Chen, Guangzhong 1 Costa, David Goldstein 1 Domingos, Ana Rute 1 Du, Yihong 1 Guo, Qing 1 Li, Yi 1 Liu, Jiaqun 1 Luo, Senping 1 Niu, Miaomiao 1 Qin, Yizhao 1 Ramos, Miguel 1 Wang, Lushun 1 Yu, Yuanyang 1 Yuan, TingFeng 1 Zhao, Fukun 1 Zhou, Ning 1 Zou, Wenming all top 5 Serials 10 Journal of Differential Equations 9 Discrete and Continuous Dynamical Systems 8 Calculus of Variations and Partial Differential Equations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Advanced Nonlinear Studies 6 Journal of Mathematical Analysis and Applications 5 The Journal of Geometric Analysis 5 Communications in Contemporary Mathematics 4 Journal of Mathematical Physics 4 Communications on Pure and Applied Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Pacific Journal of Mathematics 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Fixed Point Theory and Applications 1 Communications on Pure and Applied Mathematics 1 Nonlinearity 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 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 Mathematica Applicata 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Journal of Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Methods and Applications of Analysis 1 Advances in Differential Equations 1 Acta Mathematica Sinica. English Series 1 Acta Analysis Functionalis Applicata. AAFA 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Dynamics of Partial Differential Equations 1 Frontiers of Mathematics in China 1 Science China. Mathematics 1 Scientia Sinica. Mathematica 1 Bulletin of Mathematical Sciences 1 Advances in Nonlinear Analysis 1 SN Partial Differential Equations and Applications all top 5 Fields 113 Partial differential equations (35-XX) 21 Global analysis, analysis on manifolds (58-XX) 10 Operator theory (47-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 4 Potential theory (31-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 841 times in 586 Documents Cited by ▼ Year ▼ Local uniqueness and periodicity induced by concentration. Zbl 1378.35143 Guo, Yuxia; Peng, Shuangjie; Yan, Shusen 61 2017 Liouville type theorems for positive solutions of elliptic system in \(\mathbb R^N\). Zbl 1139.35305 Guo, Yuxia; Liu, Jiaquan 49 2008 Liouville-type theorems for polyharmonic systems in \(\mathbb R^N\). Zbl 1147.35316 Liu, Jiaqun; Guo, Yuxia; Zhang, Yajing 44 2006 Multibump solutions for quasilinear elliptic equations. Zbl 1247.35045 Liu, Jia-Quan; Wang, Zhi-Qiang; Guo, Yu-Xia 30 2012 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 29 2020 Existence and multiplicity of nontrivial solutions for \(p\)-Laplacian Schrödinger-Kirchhoff-type equations. Zbl 1318.35021 Guo, Yuxia; Nie, Jianjun 27 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 27 2014 Liouville-type theorems for polyharmonic equations in \(\mathbb{R}^N\) and in \(\mathbb{R}^N_+\). Zbl 1153.35028 Guo, Yuxia; Liu, Jiaquan 26 2008 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 22 2017 Existence of positive entire solutions for polyharmonic equations and systems. Zbl 1284.35033 Liu, Jiaquan; Guo, Yuxia; Zhang, Yajing 22 2006 Infinitely many solutions for the prescribed curvature problem of polyharmonic operator. Zbl 1262.53035 Guo, Yuxia; Li, Bo 20 2013 Local uniqueness for vortex patch problem in incompressible planar steady flow. Zbl 1436.35153 Cao, Daomin; Guo, Yuxia; Peng, Shuangjie; Yan, Shusen 20 2019 Boundary stabilization of wave equations with variable coefficients and memory. Zbl 1174.35301 Chai, Shugen; Guo, Yuxia 19 2004 Blow-up analysis for solutions of the Laplacian equation with exponential Neumann boundary condition in dimension two. Zbl 1197.35118 Guo, Yuxia; Liu, Jiaquan 18 2006 Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator. Zbl 1515.35317 Guo, Yuxia; Nie, Jianjun 18 2016 Ground state solutions for quasilinear Schrödinger systems. Zbl 1236.35036 Guo, Yuxia; Tang, Zhongwei 17 2012 Ground state solutions for the quasilinear Schrödinger equation. Zbl 1234.35246 Guo, Yuxia; Tang, Zhongwei 17 2012 Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance. Zbl 0983.37075 Guo, Yuxia 17 2001 Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback. Zbl 1090.93038 Guo, Yuxia; Yao, Pengfei 17 2006 Existence and nonexistence results for critical growth polyharmonic elliptic systems. Zbl 1189.35083 Bartsch, Thomas; Guo, Yuxia 16 2006 Critical point theory for nonsmooth functionals. Zbl 1117.58008 Liu, Jiaquan; Guo, Yuxia 16 2007 Solutions of \(p\)-sublinear \(p\)-Laplacian equation via Morse theory. Zbl 1161.35405 Guo, Yuxia; Liu, Jiaquan 15 2005 Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities. Zbl 1432.35221 Guo, Yuxia; Liu, Ting; Nie, Jianjun 15 2020 Boundary feedback stabilization of shallow shells. Zbl 1055.93065 Chai, Shugen; Guo, Yuxia; Yao, Peng-Fei 14 2003 Existence of solutions for quasilinear elliptic equations with Hardy potential. Zbl 1338.35155 Deng, Yinbin; Guo, Yuxia; Liu, Jiaquan 12 2016 Multi-bump solutions for Schrödinger equation involving critical growth and potential wells. Zbl 1346.35071 Guo, Yuxia; Tang, Zhongwei 11 2015 On a Brezis-Nirenberg type quasilinear problem. Zbl 1372.35112 Guo, Yuxia; Liu, Jiaquan; Wang, Zhi-Qiang 11 2017 Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations. Zbl 1465.35394 Guo, Yuxia; Peng, Shaolong 11 2021 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 10 2018 Multi-bump bound state solutions for the quasilinear Schrödinger equation with critical frequency. Zbl 1308.35269 Guo, Yuxia; Tang, Zhongwei 9 2014 Supercritical biharmonic elliptic problems in domains with small holes. Zbl 1187.35047 Guo, Yuxia; Wei, Juncheng 9 2009 Multiple solutions for critical quasilinear elliptic equations. Zbl 1404.35188 Deng, Yinbin; Guo, Yuxia; Yan, Shusen 9 2019 Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\). Zbl 1486.35426 Guo, Yuxia; Peng, Shaolong 9 2022 Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells. Zbl 1326.35347 Guo, Yuxia; Tang, Zhongwei 8 2015 Nontrivial solutions for resonant noncooperative elliptic systems. Zbl 1072.35531 Guo, Yuxia 8 2000 Solutions for singular \(p\)-Laplacian equation in \(R^{n}\). Zbl 1300.35039 Liu, Xiangqing; Guo, Yuxia; Liu, Jiaquan 7 2009 Infinitely many non-radial solutions for the polyharmonic Hénon equation with a critical exponent. Zbl 1371.35121 Guo, Yuxia; Li, Bo; Li, Yi 7 2017 Construction of solutions for the polyharmonic equation via local Pohozaev identities. Zbl 1421.35081 Guo, Yuxia; Liu, Ting; Nie, Jianjun 7 2019 The fractional Brezis-Nirenberg problems on lower dimensions. Zbl 1471.35158 Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen 7 2021 Large energy entire solutions for the Yamabe type problem of polyharmonic operator. Zbl 1310.35047 Guo, Yuxia; Li, Bo; Wei, Juncheng 6 2013 Exact number of single bubbling solutions for elliptic problems of Ambrosetti-Prodi type. Zbl 1436.35197 Guo, Yuxia; Li, Benniao; Yan, Shusen 6 2020 Infinitely many non-radial solutions to a critical equation on annulus. Zbl 1405.35061 Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen 5 2018 Solutions for quasilinear Schrödinger systems with critical exponents. Zbl 1327.35096 Guo, Yuxia; Li, Bo 5 2015 A new Morse index theory for strongly indefinite functionals. Zbl 1061.58010 Guo, Yuxia; Liu, Jiaquan; Zeng, Pingan 5 2004 Non-degeneracy of bubble solutions for higher order prescribed curvature problem. Zbl 1486.35172 Guo, Yuxia; Hu, Yichen 5 2022 Non-degeneracy and existence of new solutions for the Schrödinger equations. Zbl 1496.35178 Guo, Yuxia; Musso, Monica; Peng, Shuangjie; Yan, Shusen 5 2022 Infinitely many solutions for quasilinear Schrödinger systems with finite and sign-changing potentials. Zbl 1341.35066 Guo, Yuxia; Nie, Jianjun 4 2016 Liouville-type theorems for higher-order Lane-Emden system in exterior domains. Zbl 1512.35131 Guo, Yuxia; Peng, Shaolong 4 2023 On an asymptotically \(p\)-linear \(p\)-Laplacian equation in \(\mathbb R^N\). Zbl 1203.35120 Liu, Jiaquan; Liu, Xiangqing; Guo, Yuxia 4 2011 Computations of critical groups and applications to asymptotically linear wave equation and beam equation. Zbl 1073.35147 Zeng, Pingan; Liu, Jiaquan; Guo, Yuxia 4 2004 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 4 2002 Stabilization of elastic plates with variable coefficients and dynamical boundary control. Zbl 1028.93027 Guo, Yuxia; Chai, Shugen; Yao, Pengfei 4 2002 Multibump bound states for quasilinear Schrödinger systems with critical frequency. Zbl 1266.35057 Guo, Yuxia; Tang, Zhongwei 4 2012 Nonexistence of positive solutions for polyharmonic systems in \(\mathbb R^N\). Zbl 1133.35003 Guo, Yuxia; Liu, Jiaquan; Zhang, Yajing 4 2007 Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system. Zbl 1510.35085 Guo, Yuxia; Peng, Shaolong 3 2023 Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system. Zbl 1187.37024 Guo, Yuxia; Liu, Jiaquan 3 2009 Non-existence, monotonicity for positive solutions of semilinear elliptic system in \(\mathbb R^N_+\). Zbl 1196.35083 Guo, Yuxia 3 2010 Morse theory for strongly indefinite functional. Zbl 1013.37023 Guo, Y. X.; Liu, J. Q. 3 2002 Mountain pass solutions and an indefinite superlinear elliptic problem of \(\mathbb R^N\). Zbl 1254.35066 Du, Yihong; Guo, Yuxia 3 2003 On boundary stability of wave equations with variable coefficients. Zbl 1029.35159 Guo, Yuxia; Yao, Pengfei 3 2002 Monotonicity and nonexistence of positive solutions for pseudo-relativistic equation with indefinite nonlinearity. Zbl 1487.35402 Guo, Yuxia; Peng, Shaolong 3 2022 Large energy bubble solutions for Schrödinger equation with supercritical growth. Zbl 1472.35109 Guo, Yuxia; Liu, Ting 3 2021 Classification for positive solutions of degenerate elliptic system. Zbl 1407.35009 Guo, Yuxia; Nie, Jianjun 3 2019 Multiple solutions for a critical quasilinear equation with Hardy potential. Zbl 1432.35088 Gao, Fengshuang; Guo, Yuxia 3 2019 A multiple critical points theorem and applications to quasilinear boundary value problems in \(\mathbf R^N_+\). Zbl 1241.35108 Guo, Yuxia; Liu, Xiangqing 2 2012 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 2 2002 Solutions for critical quasilinear elliptic equations in \(\mathbb{R}^N\). Zbl 1412.35134 Gao, Fengshuang; Guo, Yuxia 2 2019 Periodic solutions for an asymptotically linear wave equation with resonance. Zbl 1151.35369 Guo, Yuxia; Liu, Jiaquan 2 2007 Non-radial solutions for the fractional Hénon equation with critical exponent. Zbl 1492.35029 Guo, Yuxia; hu, Yichen; Liu, Ting 2 2022 Lazer-McKenna conjecture for higher order elliptic problem with critical growth. Zbl 1433.35048 Guo, Yuxia; Liu, Ting 2 2020 Multiple solutions for quasilinear equation involving Hardy critical Sobolev exponents. Zbl 1466.35190 Gao, Fengshuang; Guo, Yuxia 2 2020 Double-tower solutions for higher-order prescribed curvature problem. Zbl 07864268 Gao, Yuan; Guo, Yuxia; Hu, Yichen 2 2024 Periodic solution for higher order prescribed curvature problem in a strip. Zbl 1522.35204 Guo, Yuxia; Wu, Shengyu 1 2023 Nonexistence of positive finite Morse index solutions to an elliptic problem with singular nonlinearity. Zbl 1173.35471 Guo, Yuxia; Wei, Juncheng 1 2008 Computations of critical groups at a degenerate critical point for strongly indefinite functionals. Zbl 0982.58009 Guo, Yuxia 1 2001 Morse theory for strongly indefinite functional and its applications. Zbl 1070.58010 Guo, Yuxia 1 2003 Iterative solution on a class of nonlinear operator equation. Zbl 1011.65501 Guo, Yuxia 1 1999 New existence of multi-spike solutions for the fractional Schrödinger equations. Zbl 1514.35458 Guo, Qing; Guo, Yuxia; Peng, Shuangjie 1 2023 Sign-changing solutions for an asymptotically \(p\)-linear \(p\)-Laplacian equation in \(\mathbb R^N\). Zbl 1270.35244 Liu, Xiangqing; Guo, Yuxia 1 2013 Positive solutions for quasilinear systems with critical growth. Zbl 1296.35059 Guo, Yuxia; Liu, Xiangqing; Zhao, Fukun 1 2013 A direct method of moving planes for fully nonlinear nonlocal operators and applications. Zbl 1479.35919 Guo, Yuxia; Peng, Shaolong 1 2021 Bubble solutions for a supercritical polyharmonic Hénon-type equation. Zbl 1481.35231 Guo, Yuxia; Liu, Ting 1 2022 An elliptic problem with periodic boundary condition involving critical growth. Zbl 1537.35186 Guo, Yuxia; Yan, Shusen 1 2024 Asymptotical behavior of ground state solutions for critical quasilinear Schrödinger equation. Zbl 1442.35416 Chen, Yongpeng; Guo, Yuxia; Tang, Zhongwei 1 2020 Localized nodal solutions for \(p\)-Laplacian equations with critical exponents. Zbl 1447.35163 Gao, Fengshuang; Guo, Yuxia 1 2020 Energy decay and global smooth solutions for a free boundary fluid-nonlinear elastic structure interface model with boundary dissipation. Zbl 1442.35562 Qin, Yizhao; Guo, Yuxia; Yao, Peng-Fei 1 2020 Existence and nonexistence results for critical growth fractional elliptic systems. Zbl 1465.35266 Gao, Fengshuang; Guo, Yuxia 1 2021 Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation. Zbl 07831587 Guo, Yuxia; Hu, Yichen; Peng, Shaolong 1 2024 Solutions of biharmonic equations with steep potential wells. Zbl 1499.31012 Guo, Yuxia; Tang, Zhongwei; Wang, Lushun 1 2019 Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents. Zbl 1483.35202 Chen, Yongpeng; Guo, Yuxia; Tang, Zhongwei 1 2019 Double-tower solutions for higher-order prescribed curvature problem. Zbl 07864268 Gao, Yuan; Guo, Yuxia; Hu, Yichen 2 2024 An elliptic problem with periodic boundary condition involving critical growth. Zbl 1537.35186 Guo, Yuxia; Yan, Shusen 1 2024 Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation. Zbl 07831587 Guo, Yuxia; Hu, Yichen; Peng, Shaolong 1 2024 Liouville-type theorems for higher-order Lane-Emden system in exterior domains. Zbl 1512.35131 Guo, Yuxia; Peng, Shaolong 4 2023 Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system. Zbl 1510.35085 Guo, Yuxia; Peng, Shaolong 3 2023 Periodic solution for higher order prescribed curvature problem in a strip. Zbl 1522.35204 Guo, Yuxia; Wu, Shengyu 1 2023 New existence of multi-spike solutions for the fractional Schrödinger equations. Zbl 1514.35458 Guo, Qing; Guo, Yuxia; Peng, Shuangjie 1 2023 Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\). Zbl 1486.35426 Guo, Yuxia; Peng, Shaolong 9 2022 Non-degeneracy of bubble solutions for higher order prescribed curvature problem. Zbl 1486.35172 Guo, Yuxia; Hu, Yichen 5 2022 Non-degeneracy and existence of new solutions for the Schrödinger equations. Zbl 1496.35178 Guo, Yuxia; Musso, Monica; Peng, Shuangjie; Yan, Shusen 5 2022 Monotonicity and nonexistence of positive solutions for pseudo-relativistic equation with indefinite nonlinearity. Zbl 1487.35402 Guo, Yuxia; Peng, Shaolong 3 2022 Non-radial solutions for the fractional Hénon equation with critical exponent. Zbl 1492.35029 Guo, Yuxia; hu, Yichen; Liu, Ting 2 2022 Bubble solutions for a supercritical polyharmonic Hénon-type equation. Zbl 1481.35231 Guo, Yuxia; Liu, Ting 1 2022 Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations. Zbl 1465.35394 Guo, Yuxia; Peng, Shaolong 11 2021 The fractional Brezis-Nirenberg problems on lower dimensions. Zbl 1471.35158 Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen 7 2021 Large energy bubble solutions for Schrödinger equation with supercritical growth. Zbl 1472.35109 Guo, Yuxia; Liu, Ting 3 2021 A direct method of moving planes for fully nonlinear nonlocal operators and applications. Zbl 1479.35919 Guo, Yuxia; Peng, Shaolong 1 2021 Existence and nonexistence results for critical growth fractional elliptic systems. Zbl 1465.35266 Gao, Fengshuang; Guo, Yuxia 1 2021 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 29 2020 Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities. Zbl 1432.35221 Guo, Yuxia; Liu, Ting; Nie, Jianjun 15 2020 Exact number of single bubbling solutions for elliptic problems of Ambrosetti-Prodi type. Zbl 1436.35197 Guo, Yuxia; Li, Benniao; Yan, Shusen 6 2020 Lazer-McKenna conjecture for higher order elliptic problem with critical growth. Zbl 1433.35048 Guo, Yuxia; Liu, Ting 2 2020 Multiple solutions for quasilinear equation involving Hardy critical Sobolev exponents. Zbl 1466.35190 Gao, Fengshuang; Guo, Yuxia 2 2020 Asymptotical behavior of ground state solutions for critical quasilinear Schrödinger equation. Zbl 1442.35416 Chen, Yongpeng; Guo, Yuxia; Tang, Zhongwei 1 2020 Localized nodal solutions for \(p\)-Laplacian equations with critical exponents. Zbl 1447.35163 Gao, Fengshuang; Guo, Yuxia 1 2020 Energy decay and global smooth solutions for a free boundary fluid-nonlinear elastic structure interface model with boundary dissipation. Zbl 1442.35562 Qin, Yizhao; Guo, Yuxia; Yao, Peng-Fei 1 2020 Local uniqueness for vortex patch problem in incompressible planar steady flow. Zbl 1436.35153 Cao, Daomin; Guo, Yuxia; Peng, Shuangjie; Yan, Shusen 20 2019 Multiple solutions for critical quasilinear elliptic equations. Zbl 1404.35188 Deng, Yinbin; Guo, Yuxia; Yan, Shusen 9 2019 Construction of solutions for the polyharmonic equation via local Pohozaev identities. Zbl 1421.35081 Guo, Yuxia; Liu, Ting; Nie, Jianjun 7 2019 Classification for positive solutions of degenerate elliptic system. Zbl 1407.35009 Guo, Yuxia; Nie, Jianjun 3 2019 Multiple solutions for a critical quasilinear equation with Hardy potential. Zbl 1432.35088 Gao, Fengshuang; Guo, Yuxia 3 2019 Solutions for critical quasilinear elliptic equations in \(\mathbb{R}^N\). Zbl 1412.35134 Gao, Fengshuang; Guo, Yuxia 2 2019 Solutions of biharmonic equations with steep potential wells. Zbl 1499.31012 Guo, Yuxia; Tang, Zhongwei; Wang, Lushun 1 2019 Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents. Zbl 1483.35202 Chen, Yongpeng; Guo, Yuxia; Tang, Zhongwei 1 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 10 2018 Infinitely many non-radial solutions to a critical equation on annulus. Zbl 1405.35061 Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen 5 2018 Local uniqueness and periodicity induced by concentration. Zbl 1378.35143 Guo, Yuxia; Peng, Shuangjie; Yan, Shusen 61 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 22 2017 On a Brezis-Nirenberg type quasilinear problem. Zbl 1372.35112 Guo, Yuxia; Liu, Jiaquan; Wang, Zhi-Qiang 11 2017 Infinitely many non-radial solutions for the polyharmonic Hénon equation with a critical exponent. Zbl 1371.35121 Guo, Yuxia; Li, Bo; Li, Yi 7 2017 Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator. Zbl 1515.35317 Guo, Yuxia; Nie, Jianjun 18 2016 Existence of solutions for quasilinear elliptic equations with Hardy potential. Zbl 1338.35155 Deng, Yinbin; Guo, Yuxia; Liu, Jiaquan 12 2016 Infinitely many solutions for quasilinear Schrödinger systems with finite and sign-changing potentials. Zbl 1341.35066 Guo, Yuxia; Nie, Jianjun 4 2016 Existence and multiplicity of nontrivial solutions for \(p\)-Laplacian Schrödinger-Kirchhoff-type equations. Zbl 1318.35021 Guo, Yuxia; Nie, Jianjun 27 2015 Multi-bump solutions for Schrödinger equation involving critical growth and potential wells. Zbl 1346.35071 Guo, Yuxia; Tang, Zhongwei 11 2015 Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells. Zbl 1326.35347 Guo, Yuxia; Tang, Zhongwei 8 2015 Solutions for quasilinear Schrödinger systems with critical exponents. Zbl 1327.35096 Guo, Yuxia; Li, Bo 5 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 27 2014 Multi-bump bound state solutions for the quasilinear Schrödinger equation with critical frequency. Zbl 1308.35269 Guo, Yuxia; Tang, Zhongwei 9 2014 Infinitely many solutions for the prescribed curvature problem of polyharmonic operator. Zbl 1262.53035 Guo, Yuxia; Li, Bo 20 2013 Large energy entire solutions for the Yamabe type problem of polyharmonic operator. Zbl 1310.35047 Guo, Yuxia; Li, Bo; Wei, Juncheng 6 2013 Sign-changing solutions for an asymptotically \(p\)-linear \(p\)-Laplacian equation in \(\mathbb R^N\). Zbl 1270.35244 Liu, Xiangqing; Guo, Yuxia 1 2013 Positive solutions for quasilinear systems with critical growth. Zbl 1296.35059 Guo, Yuxia; Liu, Xiangqing; Zhao, Fukun 1 2013 Multibump solutions for quasilinear elliptic equations. Zbl 1247.35045 Liu, Jia-Quan; Wang, Zhi-Qiang; Guo, Yu-Xia 30 2012 Ground state solutions for quasilinear Schrödinger systems. Zbl 1236.35036 Guo, Yuxia; Tang, Zhongwei 17 2012 Ground state solutions for the quasilinear Schrödinger equation. Zbl 1234.35246 Guo, Yuxia; Tang, Zhongwei 17 2012 Multibump bound states for quasilinear Schrödinger systems with critical frequency. Zbl 1266.35057 Guo, Yuxia; Tang, Zhongwei 4 2012 A multiple critical points theorem and applications to quasilinear boundary value problems in \(\mathbf R^N_+\). Zbl 1241.35108 Guo, Yuxia; Liu, Xiangqing 2 2012 On an asymptotically \(p\)-linear \(p\)-Laplacian equation in \(\mathbb R^N\). Zbl 1203.35120 Liu, Jiaquan; Liu, Xiangqing; Guo, Yuxia 4 2011 Non-existence, monotonicity for positive solutions of semilinear elliptic system in \(\mathbb R^N_+\). Zbl 1196.35083 Guo, Yuxia 3 2010 Supercritical biharmonic elliptic problems in domains with small holes. Zbl 1187.35047 Guo, Yuxia; Wei, Juncheng 9 2009 Solutions for singular \(p\)-Laplacian equation in \(R^{n}\). Zbl 1300.35039 Liu, Xiangqing; Guo, Yuxia; Liu, Jiaquan 7 2009 Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system. Zbl 1187.37024 Guo, Yuxia; Liu, Jiaquan 3 2009 Liouville type theorems for positive solutions of elliptic system in \(\mathbb R^N\). Zbl 1139.35305 Guo, Yuxia; Liu, Jiaquan 49 2008 Liouville-type theorems for polyharmonic equations in \(\mathbb{R}^N\) and in \(\mathbb{R}^N_+\). Zbl 1153.35028 Guo, Yuxia; Liu, Jiaquan 26 2008 Nonexistence of positive finite Morse index solutions to an elliptic problem with singular nonlinearity. Zbl 1173.35471 Guo, Yuxia; Wei, Juncheng 1 2008 Critical point theory for nonsmooth functionals. Zbl 1117.58008 Liu, Jiaquan; Guo, Yuxia 16 2007 Nonexistence of positive solutions for polyharmonic systems in \(\mathbb R^N\). Zbl 1133.35003 Guo, Yuxia; Liu, Jiaquan; Zhang, Yajing 4 2007 Periodic solutions for an asymptotically linear wave equation with resonance. Zbl 1151.35369 Guo, Yuxia; Liu, Jiaquan 2 2007 Liouville-type theorems for polyharmonic systems in \(\mathbb R^N\). Zbl 1147.35316 Liu, Jiaqun; Guo, Yuxia; Zhang, Yajing 44 2006 Existence of positive entire solutions for polyharmonic equations and systems. Zbl 1284.35033 Liu, Jiaquan; Guo, Yuxia; Zhang, Yajing 22 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 18 2006 Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback. Zbl 1090.93038 Guo, Yuxia; Yao, Pengfei 17 2006 Existence and nonexistence results for critical growth polyharmonic elliptic systems. Zbl 1189.35083 Bartsch, Thomas; Guo, Yuxia 16 2006 Solutions of \(p\)-sublinear \(p\)-Laplacian equation via Morse theory. Zbl 1161.35405 Guo, Yuxia; Liu, Jiaquan 15 2005 Boundary stabilization of wave equations with variable coefficients and memory. Zbl 1174.35301 Chai, Shugen; Guo, Yuxia 19 2004 A new Morse index theory for strongly indefinite functionals. Zbl 1061.58010 Guo, Yuxia; Liu, Jiaquan; Zeng, Pingan 5 2004 Computations of critical groups and applications to asymptotically linear wave equation and beam equation. Zbl 1073.35147 Zeng, Pingan; Liu, Jiaquan; Guo, Yuxia 4 2004 Boundary feedback stabilization of shallow shells. Zbl 1055.93065 Chai, Shugen; Guo, Yuxia; Yao, Peng-Fei 14 2003 Mountain pass solutions and an indefinite superlinear elliptic problem of \(\mathbb R^N\). Zbl 1254.35066 Du, Yihong; Guo, Yuxia 3 2003 Morse theory for strongly indefinite functional and its applications. Zbl 1070.58010 Guo, Yuxia 1 2003 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 4 2002 Stabilization of elastic plates with variable coefficients and dynamical boundary control. Zbl 1028.93027 Guo, Yuxia; Chai, Shugen; Yao, Pengfei 4 2002 Morse theory for strongly indefinite functional. Zbl 1013.37023 Guo, Y. X.; Liu, J. Q. 3 2002 On boundary stability of wave equations with variable coefficients. Zbl 1029.35159 Guo, Yuxia; Yao, Pengfei 3 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 2 2002 Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance. Zbl 0983.37075 Guo, Yuxia 17 2001 Computations of critical groups at a degenerate critical point for strongly indefinite functionals. Zbl 0982.58009 Guo, Yuxia 1 2001 Nontrivial solutions for resonant noncooperative elliptic systems. Zbl 1072.35531 Guo, Yuxia 8 2000 Iterative solution on a class of nonlinear operator equation. Zbl 1011.65501 Guo, Yuxia 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 594 Authors 67 Guo, Yuxia 17 Peng, Shaolong 16 Peng, Shuangjie 14 Chai, Shugen 14 Tang, Xianhua 14 Tang, Zhongwei 14 Wang, Chunhua 13 Yan, Shusen 12 Cao, Daomin 12 Hu, Yichen 12 Liu, Jiaquan 12 Liu, Ting 11 Yao, Pengfei 10 Pistoia, Angela 10 Rădulescu, Vicenţiu D. 10 Wang, Zhi-Qiang 9 Guo, Qing 9 Luo, Peng 9 Nie, Jianjun 9 Yu, Xiaohui 8 Feng, Meiqiang 8 Liu, Xiangqing 8 Yang, Minbo 8 Yang, Xian Yong 7 Dou, Jingbo 6 Clapp, Mónica 6 Gao, Fengshuang 6 Hao, Jianghao 6 Li, Congming 6 Liu, Zhaoli 6 Tian, ShuYing 6 Villavert, John 6 Wu, Jieqiong 6 Zhou, Chunqin 5 Chen, Caisheng 5 Chen, Goong 5 Ji, Chao 5 Jing, Yongtao 5 Li, Benniao 5 Li, Shengjia 5 Ngô Quốc Anh 5 Tang, Chun-Lei 5 Wang, Guodong 5 Wu, Xian 5 Yang, Fengyan 5 Zhang, Tao 5 Zou, Wenming 4 Alves, Claudianor Oliveira 4 Chen, Jianhua 4 Chen, Sitong 4 Chen, Yongpeng 4 Cheng, Bitao 4 Cheng, Ze 4 Da Silva, Edcarlos Domingos 4 He, Qihan 4 Huang, Genggeng 4 Jiao, Yujuan 4 Lei, Yutian 4 Li, Jing 4 Li, Qi 4 Liu, Haidong 4 Liu, Yuxiang 4 Medina, Maria 4 Musso, Monica 4 Phan, Quoc Hung 4 Repovš, Dušan D. 4 Tavares, Hugo 4 Teng, Kaimin 4 Vétois, Jérôme 4 Wan, Jie 4 Wang, Lushun 4 Wu, Yuanze 4 Xie, Huafei 4 Yang, Yunyan 4 You, Song 4 Zhang, Jian 4 Zhao, Fukun 4 Zhao, Shunneng 3 Battaglia, Luca 3 Chen, Haibo 3 Chen, Haiping 3 Chen, Haixia 3 Cheng, Rong 3 Dai, Wei 3 dos Santos, Gelson C. G. 3 Duan, Lipeng 3 Duong, Anh Tuan 3 Figueiredo, Giovany Malcher 3 Gao, Fashun 3 Ghergu, Marius 3 Guo, Bao-Zhu 3 Huang, Chen 3 Kim, Jaemyoung 3 Lei, Chunyu 3 Liu, Baiyu 3 Liu, Min 3 Liu, Zhongyuan 3 Lü, Dengfeng 3 Lu, Guozhen 3 Montenegro, Marcos ...and 494 more Authors all top 5 Cited in 115 Serials 47 Journal of Differential Equations 44 Journal of Mathematical Analysis and Applications 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Calculus of Variations and Partial Differential Equations 30 Discrete and Continuous Dynamical Systems 26 Communications on Pure and Applied Analysis 16 The Journal of Geometric Analysis 15 Advanced Nonlinear Studies 14 Journal of Mathematical Physics 13 Mathematical Methods in the Applied Sciences 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Boundary Value Problems 12 Complex Variables and Elliptic Equations 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Journal of Functional Analysis 10 Applicable Analysis 10 Communications in Contemporary Mathematics 9 Advances in Nonlinear Analysis 8 Acta Applicandae Mathematicae 8 Nonlinear Analysis. Real World Applications 8 Journal of Fixed Point Theory and Applications 7 Topological Methods in Nonlinear Analysis 7 Acta Mathematica Sinica. English Series 6 Applied Mathematics Letters 6 SIAM Journal on Mathematical Analysis 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Discrete and Continuous Dynamical Systems. Series S 6 Science China. Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Dynamical and Control Systems 5 Journal of Systems Science and Complexity 4 Nonlinearity 4 Applied Mathematics and Optimization 4 Mathematische Annalen 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 NoDEA. Nonlinear Differential Equations and Applications 3 Computers & Mathematics with Applications 3 Mathematische Nachrichten 3 Systems & Control Letters 3 Electronic Journal of Differential Equations (EJDE) 3 Abstract and Applied Analysis 3 Taiwanese Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Annals of Functional Analysis 3 Analysis and Mathematical Physics 3 Frontiers of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Studia Mathematica 2 Advances in Mathematics 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Potential Analysis 2 Discrete Dynamics in Nature and Society 2 Journal of Mathematical Fluid Mechanics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Frontiers of Mathematics in China 2 Electronic Research Archive 2 SN Partial Differential Equations and Applications 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Lithuanian Mathematical Journal 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Demonstratio Mathematica 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Ricerche di Matematica 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 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Mathematics 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Partial Differential Equations 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Fixed Point Theory ...and 15 more Serials all top 5 Cited in 24 Fields 537 Partial differential equations (35-XX) 66 Global analysis, analysis on manifolds (58-XX) 30 Systems theory; control (93-XX) 29 Integral equations (45-XX) 26 Operator theory (47-XX) 23 Ordinary differential equations (34-XX) 20 Mechanics of deformable solids (74-XX) 17 Fluid mechanics (76-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Potential theory (31-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 8 Quantum theory (81-XX) 7 Differential geometry (53-XX) 6 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year