Asymptotic behavior of the least energy solution of a problem with competing powers

DOI10.1016/j.jfa.2011.06.005zbMath1232.35073OpenAlexW1975482498MaRDI QIDQ719486

Sanjiban Santra, E. Norman Dancer, Wei, Juncheng

Publication date: 10 October 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.06.005

zbMATH Keywords

asymptotic behaviorleast energy solutionzero mass

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (7)

Nodal bubble-tower solutions for a semilinear elliptic problem with competing powers ⋮ Ground state energy threshold and blow-up for NLS with competing nonlinearities ⋮ Standing waves with prescribed \(L^2\)-norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities ⋮ Profile of the least energy solution of a singular perturbed Neumann problem with mixed powers ⋮ Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities ⋮ Multiple blowing-up solutions to critical elliptic systems in bounded domains ⋮ Competing power problem involving the half Laplacian

Cites Work

• Unnamed Item
• Nonlinear scalar field equations. I: Existence of a ground state
• Variational reduction for Ginzburg-Landau vortices
• Singular perturbed problems in the zero mass case: asymptotic behavior of spikes
• Singular solutions for some semilinear elliptic equations
• Symmetry and related properties via the maximum principle
• Removable singularities for some nonlinear elliptic equations
• Comportement asymptotique des solutions d'équations elliptiques semi-linéaires dans \(\mathbb R^ N\)
• Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. II: The nonradial case
• Asymptotic shape and location of small cores in elliptic free-boundary problems
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Two-bubble solutions in the super-critical Bahri-Coron's problem
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Multiple interior peak solutions for some singularly perturbed Neumann problems.
• Singular limits in Liouville-type equations
• Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. I: The radial case
• Uniqueness of the positive solution of \(\Delta u+f(u)=0\) in an annulus
• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• Singular solutions of some nonlinear elliptic equations
• A priori bounds for positive solutions of nonlinear elliptic equations
• Some notes on the method of moving planes
• Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
• Ginzburg-Landau vortices

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