Concentration for an elliptic equation with singular nonlinearity

DOI10.1016/j.matpur.2011.02.001zbMath1246.35085OpenAlexW1987033097MaRDI QIDQ429236

Juan Dávila, Marcelo Montenegro

Publication date: 26 June 2012

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2011.02.001

zbMATH Keywords

asymptotic behaviorelliptic equationssingular nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60)

Related Items (12)

Singular elliptic equations with nonlinearities of subcritical and critical growth ⋮ A class of elliptic equations with singular and critical nonlinearities ⋮ A singular Liouville equation on two-dimensional domains ⋮ A singular Liouville equation on planar domains ⋮ A Choquard‐type equation with a singular absorption nonlinearity in two dimensions ⋮ Positive solutions for a critical elliptic problem involving singular nonlinearity ⋮ Complete quenching for singular parabolic problems ⋮ Least energy solution for a scalar field equation with a singular nonlinearity ⋮ Least energy solutions for an elliptic problem involving sublinear term and peaking phenomenon ⋮ Discontinuous Nonlinearity and Finite Time Extinction ⋮ A log-exp elliptic equation in the plane ⋮ A singular problem with nonlinearities of exponential growth

Cites Work

• Unnamed Item
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• Radial solutions of an elliptic equation with singular nonlinearity
• Rearrangements and convexity of level sets in PDE
• Symmetry and related properties via the maximum principle
• On a blow-up set for the quasilinear heat equation \(u_ t=(u^ \sigma u_ x)_ x + u^{\sigma+1}\)
• Asymptotic shape and location of small cores in elliptic free-boundary problems
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• On the existence of positive entire solutions of a semilinear elliptic equation
• Existence of positive solutions for singular Dirichlet problems
• Uniqueness and stability of regional blow-up in a porous-medium equation
• Minimax theorems
• Ground states and free boundary value problem for the \(n\)-Laplacian in \(n\) dimensional space
• Dual variational methods in critical point theory and applications
• Qualitative properties of ground states for singular elliptic equations with weights
• Uniqueness of ground states for quasilinear elliptic equations
• Hausdoff measure estimates of a free boundary for a minimum problem
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• On the shape of least‐energy solutions to a semilinear Neumann problem
• A global estimate for the gradient in a singular elliptic boundary value problem
• Regularity of an elliptic problem with a singular nonlinearity
• On a singular nonlinear elliptic equation
• GLOBAL REGULARITY FOR A SINGULAR EQUATION AND LOCAL H¹ MINIMIZERS OF A NONDIFFERENTIABLE FUNCTIONAL
• Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
• Symmetry of the blow‐up set of a porous medium type equation
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
• Symmetry in an elliptic problem and the blow—up set of

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