Existence and uniqueness of positive solution for nonhomogeneous sublinear elliptic equations
From MaRDI portal
Publication:2389258
DOI10.1016/j.jmaa.2009.04.049zbMath1177.35068OpenAlexW1996120699MaRDI QIDQ2389258
Hichem Ounaies, Mohamed Benrhouma
Publication date: 15 July 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.049
Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20)
Related Items (10)
Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions ⋮ Existence of solutions for a nonhomogeneous sublinear fractional Schrödinger equation ⋮ Existence of solutions for a perturbation sublinear elliptic equation in \(\mathbb R^N\) ⋮ Multiple solutions for perturbed semilinear Schrödinger equations ⋮ Study of multiplicity and uniqueness of solutions for a class of nonhomogeneous sublinear elliptic equations ⋮ INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRÖDINGER EQUATIONS ⋮ Positive solution for nonhomogeneous sublinear fractional equations in ⋮ Existence and multiplicity of solutions for sublinear Schrödinger equations with coercive potentials ⋮ Bound state solutions of sublinear Schrödinger equations with lack of compactness ⋮ Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solutions for a nonhomogeneous nonlinear Schrödinger equation with double power nonlinearity.
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Existence results for an indefinite unbounded perturbation of a resonant Schrödinger equation
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Multiplicity and bifurcation of positive solutions for nonhomogeneous semilinear elliptic problems
- Positive solutions of some nonlinear elliptic problems in exterior domains
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
- A perturbation result on positive entire solutions of a semilinear elliptic equation
- The dual variational principle and elliptic problems with discontinuous nonlinearities
- On the Bolza problem
- On the existence of a positive solution of semilinear elliptic equations in unbounded domains
- Two positive solutions for a class of nonhomogeneous elliptic equations
- Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
- Multiple positive solutions of some elliptic equations in \(\mathbb{R}^N\)
- Positive solutions of an elliptic partial differential equation on \(\mathbb{R}^N\)
- Nodal solutions for a sublinear elliptic equation
- On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity
- The multiplicity of solutions in non-homogeneous boundary value problems
- Dual variational methods in critical point theory and applications
- Multiple solutions of sublinear Lane-Emden elliptic equations
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- On a Class of Nonlinear Second-Order Differential Equations
- Multiple Critical Points of Perturbed Symmetric Functionals
- Nonconvex minimization problems
- A Perturbation Method in Critical Point Theory and Applications
- Existence of entire positive solutions for nonhomogeneous elliptic equations
- Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
- Solutions for a quasilinear elliptic equation with critical Sobolev exponent and perturbations on \({\mathbb{R}}^N\)
- Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\)
This page was built for publication: Existence and uniqueness of positive solution for nonhomogeneous sublinear elliptic equations
