
Previous Article
Averaging of ordinary differential equations with slowly varying averages
 DCDSB Home
 This Issue

Next Article
Pullback attractors for reactiondiffusion equations in some unbounded domains with an $H^{1}$valued nonautonomous forcing term and without uniqueness of solutions
Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation
1.  Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain 
2.  Departamento de Matemática, Universidade Estadual Paulista, Rio Claro  SP, Brazil 
[1] 
Dagny Butler, Eunkyung Ko, Eun Kyoung Lee, R. Shivaji. Positive radial solutions for elliptic equations on exterior domains with nonlinear boundary conditions. Communications on Pure & Applied Analysis, 2014, 13 (6) : 27132731. doi: 10.3934/cpaa.2014.13.2713 
[2] 
Shu Luan. On the existence of optimal control for semilinear elliptic equations with nonlinear neumann boundary conditions. Mathematical Control & Related Fields, 2017, 7 (3) : 493506. doi: 10.3934/mcrf.2017018 
[3] 
Junichi Harada, Mitsuharu Ôtani. $H^2$solutions for some elliptic equations with nonlinear boundary conditions. Conference Publications, 2009, 2009 (Special) : 333339. doi: 10.3934/proc.2009.2009.333 
[4] 
Matteo Novaga, Diego Pallara, Yannick Sire. A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications. Discrete & Continuous Dynamical Systems  S, 2016, 9 (3) : 815831. doi: 10.3934/dcdss.2016030 
[5] 
Ryuji Kajikiya, Daisuke Naimen. Two sequences of solutions for indefinite superlinearsublinear elliptic equations with nonlinear boundary conditions. Communications on Pure & Applied Analysis, 2014, 13 (4) : 15931612. doi: 10.3934/cpaa.2014.13.1593 
[6] 
Gennaro Infante. Positive solutions of differential equations with nonlinear boundary conditions. Conference Publications, 2003, 2003 (Special) : 432438. doi: 10.3934/proc.2003.2003.432 
[7] 
Carmen CalvoJurado, Juan CasadoDíaz, Manuel LunaLaynez. Parabolic problems with varying operators and Dirichlet and Neumann boundary conditions on varying sets. Conference Publications, 2007, 2007 (Special) : 181190. doi: 10.3934/proc.2007.2007.181 
[8] 
Giuseppe Da Prato, Alessandra Lunardi. On a class of elliptic and parabolic equations in convex domains without boundary conditions. Discrete & Continuous Dynamical Systems  A, 2008, 22 (4) : 933953. doi: 10.3934/dcds.2008.22.933 
[9] 
Ciprian G. Gal, Mahamadi Warma. Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions. Evolution Equations & Control Theory, 2016, 5 (1) : 61103. doi: 10.3934/eect.2016.5.61 
[10] 
Mahamadi Warma. Semi linear parabolic equations with nonlinear general Wentzell boundary conditions. Discrete & Continuous Dynamical Systems  A, 2013, 33 (11&12) : 54935506. doi: 10.3934/dcds.2013.33.5493 
[11] 
Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences. Inverse Problems & Imaging, 2016, 10 (4) : 869898. doi: 10.3934/ipi.2016025 
[12] 
José M. Arrieta, Ariadne Nogueira, Marcone C. Pereira. Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary. Discrete & Continuous Dynamical Systems  B, 2019, 24 (8) : 42174246. doi: 10.3934/dcdsb.2019079 
[13] 
Paul Sacks, Mahamadi Warma. Semilinear elliptic and ellipticparabolic equations with Wentzell boundary conditions and $L^1$data. Discrete & Continuous Dynamical Systems  A, 2014, 34 (2) : 761787. doi: 10.3934/dcds.2014.34.761 
[14] 
Alassane Niang. Boundary regularity for a degenerate elliptic equation with mixed boundary conditions. Communications on Pure & Applied Analysis, 2019, 18 (1) : 107128. doi: 10.3934/cpaa.2019007 
[15] 
Serge Nicaise, Julie Valein, Emilia Fridman. Stability of the heat and of the wave equations with boundary timevarying delays. Discrete & Continuous Dynamical Systems  S, 2009, 2 (3) : 559581. doi: 10.3934/dcdss.2009.2.559 
[16] 
Hung Le. Elliptic equations with transmission and Wentzell boundary conditions and an application to steady water waves in the presence of wind. Discrete & Continuous Dynamical Systems  A, 2018, 38 (7) : 33573385. doi: 10.3934/dcds.2018144 
[17] 
Mustapha Cheggag, Angelo Favini, Rabah Labbas, Stéphane Maingot, Ahmed Medeghri. Complete abstract differential equations of elliptic type with general Robin boundary conditions, in UMD spaces. Discrete & Continuous Dynamical Systems  S, 2011, 4 (3) : 523538. doi: 10.3934/dcdss.2011.4.523 
[18] 
Nguyen Thanh Long, Hoang Hai Ha, Le Thi Phuong Ngoc, Nguyen Anh Triet. Existence, blowup and exponential decay estimates for a system of nonlinear viscoelastic wave equations with nonlinear boundary conditions. Communications on Pure & Applied Analysis, 2020, 19 (1) : 455492. doi: 10.3934/cpaa.2020023 
[19] 
Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. I. Wellposedness and convergence of the method of lines. Inverse Problems & Imaging, 2013, 7 (2) : 307340. doi: 10.3934/ipi.2013.7.307 
[20] 
Alexandre Nolasco de Carvalho, Marcos Roberto Teixeira Primo. Spatial homogeneity in parabolic problems with nonlinear boundary conditions. Communications on Pure & Applied Analysis, 2004, 3 (4) : 637651. doi: 10.3934/cpaa.2004.3.637 
2018 Impact Factor: 1.008
Tools
Metrics
Other articles
by authors
[Back to Top]