Finite Morse index solutions of weighted elliptic equations and the critical exponents

From MaRDI portal
Publication:889746

DOI10.1007/S00526-015-0897-ZzbMath1328.35028OpenAlexW826695607MaRDI QIDQ889746

Zongming Guo, Yihong Du

Publication date: 9 November 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-015-0897-z




Related Items (25)

Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in \(\mathbb{R}^2\) and \(\mathbb{R}^3\)Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growthSobolev type embedding and weak solutions with a prescribed singular setSymmetry breaking of an elliptic equation in expanding annuliFinite Morse index solutions of a nonlinear Schrödinger equationExpansions for distributional solutions of the elliptic equation in two dimensionsLiouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearitiesExistence and non-existence results for cooperative elliptic systems without variational structureEmbeddings of weighted Sobolev spaces and degenerate elliptic problemsExistence and regularity of positive solutions of a degenerate elliptic problemFurther study of a weighted elliptic equationAsymptotic expansions for singular solutions of \(\Delta u+e^u=0\) in a punctured discA critical exponent of Joseph-lundgren type for an Hénon equation on the hyperbolic spaceA monotonicity theorem and its applications to weighted elliptic equationsOn problems with weighted elliptic operator and general growth nonlinearitiesSharp existence and classification results for nonlinear elliptic equations in \(\mathbb{R}^N \setminus \{0\}\) with Hardy potentialOn a weighted Lane–Emden systemStable and finite Morse index solutions of a nonlinear Schrödinger systemWeighted fourth order elliptic problems in the unit ballRecent progress on stable and finite Morse index solutions of semilinear elliptic equationsBôcher-type theorem on n-dimensional manifolds with conical metricSeparation phenomena of radial solutions to the Lane-Emden equation on non-compact Riemannian manifoldsBôcher-type theorems for the Poisson's equation on manifolds with conical metricsExistence and nonexistence results for a weighted elliptic equation in exterior domainsNon-existence results for a degenerate semilinear elliptic equation




Cites Work




This page was built for publication: Finite Morse index solutions of weighted elliptic equations and the critical exponents