Harnack type inequality and a priori estimates for solutions of a class of semilinear elliptic equations
From MaRDI portal
Publication:2473056
DOI10.1016/j.jde.2007.09.012zbMath1154.35039OpenAlexW1970096318MaRDI QIDQ2473056
Chang-Shou Lin, Jyotshana V. Prajapat
Publication date: 26 February 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2007.09.012
semilinear elliptic equationsa priori estimatemoving plane methodHarnack type inequalitystar shaped domains
Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)
Related Items (5)
Qualitative properties of singular solutions to fractional elliptic equations ⋮ A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity ⋮ Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric ⋮ Asymptotic symmetry of singular solutions of semilinear elliptic equations ⋮ Theoretical developments in the study of partial differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive solution branch for elliptic problems with critical indefinite nonlinearity.
- Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
- Classification of solutions of some nonlinear elliptic equations
- Estimate of the conformal scalar curvature equation via the method of moving planes. II
- The scalar curvature equation on 2- and 3-spheres
- Uniqueness results through a priori estimates. II: Dirichlet problem
- A Harnack type inequality for the Yamabe equation in low dimensions
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Positive solutions of semilinear elliptic equation \(\Delta u+ hu^{(n+ 2)/(n- 2)} =0\)
- Prescribed scalar curvature on the \(n\)-sphere
- A symmetry problem in potential theory
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
- Global and local behavior of positive solutions of nonlinear elliptic equations
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- Estimates of the conformal scalar curvature equation via the method of moving planes
- Estimates of the scalar curvature equation via the method of moving planes III
- YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
- Bifurcation problems for superlinear elliptic indefinite equations
- Local estimates for a semilinear elliptic equation with Sobolev critical exponent and application to a uniqueness result.
This page was built for publication: Harnack type inequality and a priori estimates for solutions of a class of semilinear elliptic equations