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Elliptic PDE's in probability and geometry: Symmetry and regularity of solutions
1.  ICREA and Universitat Politècnica de Catalunya, Departament de Matemàtica Aplicada 1, Diagonal 647, 08028 Barcelona, Spain 
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Hua Chen, Yawei Wei. Multiple solutions for nonlinear cone degenerate elliptic equations. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020272 
[2] 
Neil S. Trudinger, XuJia Wang. Quasilinear elliptic equations with signed measure. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 477494. doi: 10.3934/dcds.2009.23.477 
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Yunfeng Jia, Yi Li, Jianhua Wu, HongKun Xu. Cauchy problem of semilinear inhomogeneous elliptic equations of Matukumatype with multiple growth terms. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 34853507. doi: 10.3934/dcds.2019227 
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Pierre Baras. A generalization of a criterion for the existence of solutions to semilinear elliptic equations. Discrete & Continuous Dynamical Systems  S, 2021, 14 (2) : 465504. doi: 10.3934/dcdss.2020439 
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Nahed Naceur, Nour Eddine Alaa, Moez Khenissi, Jean R. Roche. Theoretical and numerical analysis of a class of quasilinear elliptic equations. Discrete & Continuous Dynamical Systems  S, 2021, 14 (2) : 723743. doi: 10.3934/dcdss.2020354 
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Lucio Damascelli, Filomena Pacella. Sectional symmetry of solutions of elliptic systems in cylindrical domains. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 33053325. doi: 10.3934/dcds.2020045 
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Tuoc Phan, Grozdena Todorova, Borislav Yordanov. Existence uniqueness and regularity theory for elliptic equations with complexvalued potentials. Discrete & Continuous Dynamical Systems  A, 2021, 41 (3) : 10711099. doi: 10.3934/dcds.2020310 
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Zhilei Liang, Jiangyu Shuai. Existence of strong solution for the Cauchy problem of fully compressible NavierStokes equations in two dimensions. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020348 
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Hoang The Tuan. On the asymptotic behavior of solutions to timefractional elliptic equations driven by a multiplicative white noise. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 17491762. doi: 10.3934/dcdsb.2020318 
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Nguyen Huu Can, Nguyen Huy Tuan, Donal O'Regan, Vo Van Au. On a final value problem for a class of nonlinear hyperbolic equations with damping term. Evolution Equations & Control Theory, 2021, 10 (1) : 103127. doi: 10.3934/eect.2020053 
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Vo Van Au, Mokhtar Kirane, Nguyen Huy Tuan. On a terminal value problem for a system of parabolic equations with nonlinearnonlocal diffusion terms. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 15791613. doi: 10.3934/dcdsb.2020174 
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Gunther Uhlmann, Jian Zhai. Inverse problems for nonlinear hyperbolic equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 455469. doi: 10.3934/dcds.2020380 
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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 & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020436 
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Shenglan Xie, Maoan Han, Peng Zhu. A posteriori error estimate of weak Galerkin fem for second order elliptic problem with mixed boundary condition. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020340 
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Christian Beck, Lukas Gonon, Martin Hutzenthaler, Arnulf Jentzen. On existence and uniqueness properties for solutions of stochastic fixed point equations. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020320 
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Thomas Bartsch, Tian Xu. Strongly localized semiclassical states for nonlinear Dirac equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 2960. doi: 10.3934/dcds.2020297 
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Matthieu Alfaro, Isabeau Birindelli. Evolution equations involving nonlinear truncated Laplacian operators. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 30573073. doi: 10.3934/dcds.2020046 
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Andreas Kreuml. The anisotropic fractional isoperimetric problem with respect to unconditional unit balls. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020290 
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Ole Løseth Elvetun, Bjørn Fredrik Nielsen. A regularization operator for source identification for elliptic PDEs. Inverse Problems & Imaging, , () : . doi: 10.3934/ipi.2021006 
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Yuxia Guo, Shaolong Peng. A direct method of moving planes for fully nonlinear nonlocal operators and applications. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020462 
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