Existence of solutions for a nonhomogeneous semilinear elliptic equation

2020 ◽  
Vol 195 ◽  
pp. 111728
Author(s):  
David Arcoya ◽  
Francisco Odair de Paiva ◽  
José M. Mendoza
Keyword(s):  
Elliptic Equation ◽  
Existence Of Solutions ◽  
Semilinear Elliptic Equation ◽  
Semilinear Elliptic

scholarly journals Super and subsolutions for elliptic equations on all ofℝn

2002 ◽  
Vol 32 (1) ◽  
pp. 41-46
Author(s):  
G. A. Afrouzi ◽  
H. Ghasemzadeh
Keyword(s):  
Population Genetics ◽  
Elliptic Equation ◽  
Elliptic Equations ◽  
Existence Of Solutions ◽  
Asymptotic Properties ◽  
Semilinear Elliptic Equation ◽  
Semilinear Elliptic

By construction sub and supersolutions for the following semilinear elliptic equation−△u(x)=λg(x)f(u(x)),x∈ℝnwhich arises in population genetics, we derive some results about the theory of existence of solutions as well as asymptotic properties of the solutions for everynand for the functiong:ℝn→ℝsuch thatgis smooth and is negative at infinity.

Existence of Solutions for a Semilinear Elliptic Equation in ℝN with Sign-changing Weight

2008 ◽  
Vol 8 (2) ◽  
Author(s):  
Jianfu Yang ◽  
Xiaohui Yu
Keyword(s):  
Elliptic Equation ◽  
Existence Of Solutions ◽  
Semilinear Elliptic Equation ◽  
Semilinear Elliptic

AbstractWe study the existence of solutions for the semilinear elliptic equationwhere 1 < p <

Existence of solutions to a class of semilinear elliptic equations involving general subcritical growth

2014 ◽  
Vol 144 (4) ◽  
pp. 809-818 ◽  
Author(s):  
Yong-Yi Lan ◽  
Chun-Lei Tang
Keyword(s):  
Elliptic Equation ◽  
Elliptic Equations ◽  
Dirichlet Boundary ◽  
Nonlinear Term ◽  
Existence Of Solutions ◽  
Semilinear Elliptic Equation ◽  
Existence Results ◽  
Subcritical Growth ◽  
Analysis Techniques ◽  
Semilinear Elliptic

In this paper, we consider the semilinear elliptic equation −Δu = λf(x,u) with the Dirichlet boundary value, and under suitable assumptions on the nonlinear term f with a more general growth condition. Some existence results of solutions are given for all λ > 0 via the variational method and some analysis techniques.

Positive Solutions for Elliptic Equations With Supercritical Nonlinearity

2009 ◽  
Vol 9 (3) ◽  
Author(s):  
Paulo Rabelo
Keyword(s):  
Elliptic Equation ◽  
Elliptic Equations ◽  
A Priori Estimates ◽  
A Priori ◽  
Auxiliary Problem ◽  
Semilinear Elliptic Equation ◽  
Minimax Methods ◽  
Semilinear Elliptic ◽  
Priori Estimates ◽  
Supercritical Nonlinearity

AbstractIn this paper minimax methods are employed to establish the existence of a bounded positive solution for semilinear elliptic equation of the form−∆u + V (x)u = P(x)|u|where the nonlinearity has supercritical growth and the potential can change sign. The solutions of the problem above are obtained by proving a priori estimates for solutions of a suitable auxiliary problem.

Sign in / Sign up

Export Citation Format

Share Document