scholarly journals Existence of solutions for some degenerate semilinear elliptic equations with measure data

Mathematica ◽  
2021 ◽  
Vol 63 (86) (1) ◽  
pp. 23-31
Author(s):  
Badajena Arun Kumar ◽  
Pradhan Shesadev
Keyword(s):  
Weak Solution ◽  
Elliptic Problem ◽  
Elliptic Equations ◽  
Existence Of Solutions ◽  
Semilinear Elliptic Equations ◽  
Measure Data ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic

We study the existence of a weak solution for a certain degenerate semilinear elliptic problem.

Pointwise Lower Bounds for Solutions of Semilinear Elliptic Equations and Applications

2014 ◽  
Vol 14 (4) ◽  
Author(s):  
Asadollah Aghajani ◽  
Alireza Mosleh Tehrani ◽  
Nassif Ghoussoub
Keyword(s):  
Bounded Domain ◽  
Lower Bounds ◽  
Elliptic Problem ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Smooth Bounded Domain ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic

AbstractWe consider the semilinear elliptic problem −Δu = f (x, u), posed in a smooth bounded domain Ω of ℝ

scholarly journals Radial symmetry of large solutions of semilinear elliptic equations with convection

2014 ◽  
Vol 144 (1) ◽  
pp. 139-147
Author(s):  
Ehsan Kamalinejad ◽  
Amir Moradifam
Keyword(s):  
Elliptic Problem ◽  
Elliptic Equations ◽  
Radial Solution ◽  
Radial Symmetry ◽  
Semilinear Elliptic Equations ◽  
Rate Of Growth ◽  
Large Solutions ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic

We study the radial symmetry of large solutions of the semilinear elliptic problem Δu + ∇h · ∇u = f (∣x∣, u), and we provide sharp conditions under which the problem has a radial solution. The result is independent of the rate of growth of the solution at infinity.

scholarly journals Multiplicity of solutions for singular semilinear elliptic equations with critical Hardy-Sobolev exponents

2008 ◽  
Vol 2 (2) ◽  
pp. 158-174 ◽  
Author(s):  
Qianqiao Guo ◽  
Pengcheng Niu ◽  
Jingbo Dou
Keyword(s):  
Boundary Condition ◽  
Variational Methods ◽  
Elliptic Problem ◽  
Dirichlet Boundary Condition ◽  
Elliptic Equations ◽  
Dirichlet Boundary ◽  
Nontrivial Solutions ◽  
Existence And Multiplicity ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic

We consider the semilinear elliptic problem with critical Hardy-Sobolev exponents and Dirichlet boundary condition. By using variational methods we obtain the existence and multiplicity of nontrivial solutions and improve the former results.

scholarly journals Singular Limits for 2-Dimensional Elliptic Problem with Exponentially Dominated Nonlinearity and a Quadratic Convection Term

2013 ◽  
Vol 21 (1) ◽  
pp. 19-50
Author(s):  
Sami Baraket ◽  
Imen Bazarbacha ◽  
Saber Kharrati ◽  
Taieb Ouni
Keyword(s):  
Elliptic Problem ◽  
Dirichlet Boundary ◽  
Existence Of Solutions ◽  
Gradient Term ◽  
Two Dimensional ◽  
Convection Term ◽  
Linear Gradient ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic ◽  
Singular Limits

Abstract We study existence of solutions with singular limits for a two-dimensional semilinear elliptic problem with exponential dominated nonlinearity and a quadratic convection non linear gradient term, imposing Dirichlet boundary condition. This paper extends previous results obtained in [1], [3], [4] and some references therein for related issues.

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