On stable entire solutions of semi-linear elliptic equations with weights
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Publication:2884421
DOI10.1090/S0002-9939-2011-11351-0zbMath1242.35024arXiv1108.3118MaRDI QIDQ2884421
Publication date: 29 May 2012
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.3118
Semilinear elliptic equations (35J61) Entire solutions to PDEs (35B08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (36)
Nonexistence of stable solutions for quasilinear Schrödinger equation ⋮ Liouville-type theorem for Kirchhoff equations involving Grushin operators ⋮ Classification of stable solutions to a fractional singular elliptic equation with weight ⋮ On stable solutions of the weighted Lane-Emden equation involving Grushin operator ⋮ On stable and finite Morse index solutions to quasilinear Schrödinger equations ⋮ Liouville results for stable solutions of quasilinear equations with weights ⋮ Stable weak solutions of weighted nonlinear elliptic equations ⋮ On stable solutions to a weighted degenerate elliptic equation with advection terms ⋮ Stable weak solutions to weighted Kirchhoff equations of Lane-Emden type ⋮ Finite Morse index solutions of a nonlinear Schrödinger equation ⋮ On positive supersolutions of fractional elliptic equations with gradient terms ⋮ On stable weak solutions of the weighted static Choquard equation involving Grushin operator ⋮ Liouville-type theorem for a nonlinear sub-elliptic system involving \(\Delta_{\lambda}\)-Laplacian and advection terms ⋮ Liouville-type results for elliptic equations with advection and potential terms on the Heisenberg group ⋮ Existence and multiplicity of solutions for a weighted \((p,q)\)-Laplacian problem on the Heisenberg Lie groups ⋮ Stable solutions to double phase problems involving a nonlocal term ⋮ Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems ⋮ Liouville type theorems for stable solutions of the weighted elliptic system with the advection term: \(p \geq \vartheta >1\) ⋮ On the Hénon-Lane-Emden conjecture ⋮ Liouville type theorems for degenerate parabolic systems with advection terms ⋮ Stability of entire solutions to supercritical elliptic problems involving advection ⋮ A nonexistence result for anisotropic problems * ⋮ On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation ⋮ On the classification of solutions to a weighted elliptic system involving the Grushin operator ⋮ Liouville theorems for stable solutions of the weighted Lane-Emden system ⋮ Classification results for Kirchhoff equations in RN ⋮ On stable solutions to weighted quasilinear problems of Gelfand type ⋮ A Liouville type theorem for non-linear elliptic systems involving advection terms ⋮ On positive stable solutions to weighted quasilinear problems with negative exponent ⋮ Liouville type theorems for some fractional elliptic problems ⋮ On stable entire solutions of sub-elliptic system involving advection terms with negative exponents and weights ⋮ On the classification of positive supersolutions of elliptic systems involving the advection terms ⋮ Liouville type theorems for stable solutions of the weighted fractional Lane-Emden system ⋮ Unnamed Item ⋮ Liouville type theorem for stable solutions to weighted quasilinear problems in \(\mathbb{R}^N \) ⋮ A Liouville-type theorem for fractional elliptic equation with exponential nonlinearity
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