Semilinear elliptic equations on singularly perturbed domains

DOI10.1080/03605309108820771zbMath0742.35024OpenAlexW2036972466MaRDI QIDQ3978328

Song-Sun Lin

Publication date: 25 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820771

zbMATH Keywords

positive solutionssuperlinearsubcriticalsingularly perturbed domains

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25)

Related Items (10)

Singular variation of domains and \(L^ \infty\) boundedness of eigenfunctions for some semi-linear elliptic equations ⋮ Nonlinear eigenvalue problem and singular variation of domains ⋮ Existence of singular positive solutions for a class quasilinear elliptic equations ⋮ Singular variation of domains and continuity property of eigenfunction for some semi-linear elliptic equations ⋮ Asymptotic behavior of positive solutions of the equations -Δu=λu^P AS p→1 ⋮ Asymptotics for a semilinear elliptic PDE ⋮ Existence of positive singular solutions for a class of quasilinear elliptic equations ⋮ Singular variation of nonlinear eigenvalues ⋮ A sharp existence result for a Dirichlet mixed problem: the superlinear case ⋮ Singular variation of the ground state eigenvalue for a semilinear elliptic equation

Cites Work

• Unnamed Item
• Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
• Nonlinear elliptic problems with critical exponent in shrinking annuli
• Symmetry and related properties via the maximum principle
• Isolated singularities in semilinear problems
• Singular variation of domains and eigenvalues of the Laplacian
• Potential and scattering theory on wildly perturbed domains
• A priori bounds for positive solutions of nonlinear elliptic equations in two variables
• Positive solutions of nonlinear elliptic boundary value problems
• Spectra of domains in compact manifolds
• On non-radially symmetric bifurcation in the annulus
• Local behavior of solutions of some elliptic equations
• On Non-Radially Symmetric Bifurcation
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• On a class of superlinear elliptic problems
• Elliptic Partial Differential Equations of Second Order

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