Symmetry-Breakings for Semilinear Elliptic Equations on Finite Cylindrical Domains

DOI10.2307/2159147zbMath0809.35005OpenAlexW2042842312MaRDI QIDQ4695577

Song-Sun Lin

Publication date: 29 June 1993

Full work available at URL: https://doi.org/10.2307/2159147

zbMATH Keywords

semilinear elliptic equation on finite cylinderssymmetry-breakings

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Invariance and symmetry properties for PDEs on manifolds (58J70) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

Related Items (1)

Symmetry breaking and existence of many positive nonsymmetric solutions for semi-linear elliptic equations on finite cylindrical domains

Cites Work

• Positive radial solutions and non-radial bifurcation for semilinear elliptic equations in annular domains
• Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions
• A nonlinear boundary value problem with many positive solutions
• Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
• An existence theorem for positive solutions of semilinear elliptic equations
• Lifting of local subdifferentiations and elliptic boundary value problems on symmetric domains. I
• On non-radially symmetric bifurcation in the annulus
• Existence of many positive solutions of semilinear equations on annulus
• Dual variational methods in critical point theory and applications
• On Non-Radially Symmetric Bifurcation
• On a Class of Nonlinear Second-Order Differential Equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On the Nonlinear Eigenvalue Problem Δu + λe u = 0
• Symmetry Breaking for a Class of Semilinear Elliptic Problems
• A priori bounds for positive solutions of nonlinear elliptic equations
• Symmetry breaking for semilinear elliptic equations on sectorial domains in ℝ²
• Existence of Positive Nonradial Solutions for Nonlinear Elliptic Equations in Annular Domains
• Symmetry breaking for a class of semilinear elliptic problems

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