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Existence and nonexistence of positive radial solutions for quasilinear systems
1.  Department of Mathematical Sciences & Applied Computing, Arizona State University, Phoenix, AZ 850697100 
[1] 
Antonio Greco, Giovanni Porru. Optimization problems for the energy integral of pLaplace equations. Conference Publications, 2013, 2013 (special) : 301310. doi: 10.3934/proc.2013.2013.301 
[2] 
Ryuji Kajikiya. Nonradial least energy solutions of the pLaplace elliptic equations. Discrete and Continuous Dynamical Systems, 2018, 38 (2) : 547561. doi: 10.3934/dcds.2018024 
[3] 
Manas Kar, JennNan Wang. Size estimates for the weighted pLaplace equation with one measurement. Discrete and Continuous Dynamical Systems  B, 2021, 26 (4) : 20112024. doi: 10.3934/dcdsb.2020188 
[4] 
Arrigo Cellina. The regularity of solutions to some variational problems, including the pLaplace equation for 3≤p < 4. Discrete and Continuous Dynamical Systems, 2018, 38 (8) : 40714085. doi: 10.3934/dcds.2018177 
[5] 
Yangrong Li, Jinyan Yin. Existence, regularity and approximation of global attractors for weakly dissipative pLaplace equations. Discrete and Continuous Dynamical Systems  S, 2016, 9 (6) : 19391957. doi: 10.3934/dcdss.2016079 
[6] 
Joachim Naumann. On the existence of weak solutions of an unsteady pLaplace thermistor system with strictly monotone electrical conductivities. Discrete and Continuous Dynamical Systems  S, 2017, 10 (4) : 837852. doi: 10.3934/dcdss.2017042 
[7] 
Mikhail D. Surnachev, Vasily V. Zhikov. On existence and uniqueness classes for the Cauchy problem for parabolic equations of the pLaplace type. Communications on Pure and Applied Analysis, 2013, 12 (4) : 17831812. doi: 10.3934/cpaa.2013.12.1783 
[8] 
Li Song, Yangrong Li, Fengling Wang. Controller and asymptotic autonomy of random attractors for stochastic pLaplace lattice equations. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2022010 
[9] 
Shingo Takeuchi. Partial flat core properties associated to the $p$laplace operator. Conference Publications, 2007, 2007 (Special) : 965973. doi: 10.3934/proc.2007.2007.965 
[10] 
George Baravdish, Yuanji Cheng, Olof Svensson, Freddie Åström. Generalizations of $ p $Laplace operator for image enhancement: Part 2. Communications on Pure and Applied Analysis, 2020, 19 (7) : 34773500. doi: 10.3934/cpaa.2020152 
[11] 
Zedong Yang, Guotao Wang, Ravi P. Agarwal, Haiyong Xu. Existence and nonexistence of entire positive radial solutions for a class of Schrödinger elliptic systems involving a nonlinear operator. Discrete and Continuous Dynamical Systems  S, 2021, 14 (10) : 38213836. doi: 10.3934/dcdss.2020436 
[12] 
Trad Alotaibi, D. D. Hai, R. Shivaji. Existence and nonexistence of positive radial solutions for a class of $p$Laplacian superlinear problems with nonlinear boundary conditions. Communications on Pure and Applied Analysis, 2020, 19 (9) : 46554666. doi: 10.3934/cpaa.2020131 
[13] 
Peter I. Kogut, Olha P. Kupenko. On optimal control problem for an illposed strongly nonlinear elliptic equation with $p$Laplace operator and $L^1$type of nonlinearity. Discrete and Continuous Dynamical Systems  B, 2019, 24 (3) : 12731295. doi: 10.3934/dcdsb.2019016 
[14] 
Bin Guo, Wenjie Gao. Finitetime blowup and extinction rates of solutions to an initial Neumann problem involving the $p(x,t)Laplace$ operator and a nonlocal term. Discrete and Continuous Dynamical Systems, 2016, 36 (2) : 715730. doi: 10.3934/dcds.2016.36.715 
[15] 
Chao Zhang, Xia Zhang, Shulin Zhou. Gradient estimates for the strong $p(x)$Laplace equation. Discrete and Continuous Dynamical Systems, 2017, 37 (7) : 41094129. doi: 10.3934/dcds.2017175 
[16] 
Patrizia Pucci, Raffaella Servadei. Nonexistence for $p$Laplace equations with singular weights. Communications on Pure and Applied Analysis, 2010, 9 (5) : 14211438. doi: 10.3934/cpaa.2010.9.1421 
[17] 
Yutian Lei, Congming Li, Chao Ma. Decay estimation for positive solutions of a $\gamma$Laplace equation. Discrete and Continuous Dynamical Systems, 2011, 30 (2) : 547558. doi: 10.3934/dcds.2011.30.547 
[18] 
Bernd Kawohl, Jiří Horák. On the geometry of the pLaplacian operator. Discrete and Continuous Dynamical Systems  S, 2017, 10 (4) : 799813. doi: 10.3934/dcdss.2017040 
[19] 
Isabel Flores, Matteo Franca, Leonelo Iturriaga. Positive radial solutions involving nonlinearities with zeros. Discrete and Continuous Dynamical Systems, 2019, 39 (5) : 25552579. doi: 10.3934/dcds.2019107 
[20] 
Xia Huang, Liping Wang. Classification to the positive radial solutions with weighted biharmonic equation. Discrete and Continuous Dynamical Systems, 2020, 40 (8) : 48214837. doi: 10.3934/dcds.2020203 
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