Topics of stable solutions to elliptic equations
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Publication:5003450
DOI10.1090/suga/457zbMath1471.35139OpenAlexW3157300737MaRDI QIDQ5003450
Publication date: 22 July 2021
Published in: Sugaku Expositions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/suga/457
Nonlinear elliptic equations (35J60) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
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Cites Work
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- De Giorgi type results for elliptic systems
- Stable solutions of elliptic equations on Riemannian manifolds
- Sharp estimates for semi-stable radial solutions of semilinear elliptic equations
- Partial regularity of stable solutions to the Emden equation
- Partial regularity of stable solutions to the supercritical equations and its applications
- Partial regularity of finite Morse index solutions to the Lane-Emden equation
- On De Giorgi's conjecture in dimension \(N\geq 9\)
- Regularity of the extremal solutions associated to elliptic systems
- Gelfand type elliptic problems under Steklov boundary conditions
- Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- On the singular limit in a phase field model of phase transitions
- The extremal solution of a boundary reaction problem
- Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions
- Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains
- Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\)
- Liouville theorems for stable solutions of semilinear elliptic equations with convex nonlinearities
- Regularity of radial minimizers of reaction equations involving the \(p\)-Laplacian
- Symmetry and related properties via the maximum principle
- A priori estimates and existence of positive solutions of semilinear elliptic equations
- Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
- On a conjecture of De Giorgi and some related problems
- Weak eigenfunctions for the linearization of extremal elliptic problems
- On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint
- Topics in regularity and qualitative properties of solutions of nonlinear elliptic equations
- On the stability of radial solutions of semilinear elliptic equations in all of \(\mathbb R^n\)
- Blow up for \(u_ t- \Delta u=g(u)\) revisited
- Geometric-type Sobolev inequalities and applications to the regularity of minimizers
- Boundedness of extremal solutions in dimension 4
- Regularity of the extremal solution of some nonlinear elliptic problems involving the \(p\)-Laplacian
- Asymptotic behavior of stable radial solutions of semilinear elliptic equations in \(\mathbb R^N\)
- Regularity of flat level sets in phase transitions
- Uniqueness of solutions for a nonlocal elliptic eigenvalue problem
- Semi-stable and extremal solutions of reaction equations involving the \(p\)-Laplacian
- Regularity of minimizers for three elliptic problems: minimal cones, harmonic maps, and semilinear equations
- The extremal solution for the fractional Laplacian
- Minimal cones and the Bernstein problem
- On the first variation of a varifold
- Quasilinear Dirichlet problems driven by positive sources
- Liouville-type results for solutions of \(-\Delta u=|u|^{p-1}u\) on unbounded domains of \(\mathbb R^N\)
- Sobolev and isoperimetric inequalities with monomial weights
- Stable solutions of \(-\delta u=e^u\) on \(\mathbb R^N\)
- Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings
- Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- Bernstein and De Giorgi type problems: new results via a geometric approach
- Regularity of minimizers of semilinear elliptic problems up to dimension 4
- On the classification of solutions of -Δ𝑢=𝑒^{𝑢} on ℝ^{ℕ}: Stability outside a compact set and applications
- Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
- Regularity of the extremal solution of semilinear elliptic equations
- Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
- Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution
- Extremal solutions to Liouville–Gelfand type elliptic problems with nonlinear Neumann boundary conditions
- Some problems in the theory of quasilinear equations
- PERTURBING SINGULAR SOLUTIONS OF THE GELFAND PROBLEM
- MINIMAL SOLUTIONS FOR A CLASS OF ELLIPTIC SYSTEMS
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn
- On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property
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