Sharp blow-up profiles of positive solutions for a class of semilinear elliptic problems

DOI10.1515/ans-2021-2149zbMath1479.35468OpenAlexW3206699788MaRDI QIDQ2240566

Julián López-Gómez, Jian-Wen Sun, Wang-Tong Li

Publication date: 4 November 2021

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2021-2149

zbMATH Keywords

asymptotic behavior of the positive solutionboundary condionsemilinar elliptic equation with Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (5)

Degeneracies versus reactions for some nonlocal dispersal equations ⋮ Sharp profiles for diffusive logistic equation with spatial heterogeneity ⋮ Fine patterns for a nonlocal periodic-parabolic equation with spatial degeneracy ⋮ Asymptotic profiles for positive solutions of diffusive logistic equations ⋮ Local diffusion vs. nonlocal dispersal in periodic logistic equations

Cites Work

• Unnamed Item
• The effects of spatial heterogeneities on some multiplicity results
• Sharp patterns of positive solutions for some weighted semilinear elliptic problems
• On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• Geometric theory of semilinear parabolic equations
• A priori bounds and multiple solutions for superlinear indefinite elliptic problems
• Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs
• Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
• The boundary blow-up rate of large solutions.
• Global dynamics of generalized logistic equations
• Approaching metasolutions by solutions .
• Spatial patterns for population models in a heterogeneous environment
• The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
• Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
• Solution components in a degenerate weighted BVP
• Asymptotic profiles in diffusive logistic equations
• On the effects of migration and spatial heterogeneity on single and multiple species
• Optimal uniqueness theorems and exact blow-up rates of large solutions
• Metasolutions of Parabolic Equations in Population Dynamics
• Remarks on sublinear elliptic equations
• On some linear and nonlinear eigenvalue problems with an indefinite weight function
• On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
• Spatial Ecology via Reaction‐Diffusion Equations
• Semiclassical analysis of general second order elliptic operators on bounded domains
• Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
• Linear Second Order Elliptic Operators
• Dynamics of a Class of Advective-diffusive Equations in Ecology
• Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems.
• On the existence and numerical computation of classical and non-classical solutions for a family of elliptic boundary value problems

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