Symmetry Breaking for a Class of Semilinear Elliptic Problems
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Publication:3786809
DOI10.2307/2000744zbMath0644.35010OpenAlexW4236744047MaRDI QIDQ3786809
Mythily Ramaswamy, P. N. Srikanth
Publication date: 1987
Full work available at URL: https://doi.org/10.2307/2000744
Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Bifurcations in context of PDEs (35B32)
Related Items (10)
Symmetry-Breakings for Semilinear Elliptic Equations on Finite Cylindrical Domains ⋮ Un résultat de non-existence de solution positive pour une équation elliptique. (A nonexistence result for positive solutions of an elliptic equation) ⋮ Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions ⋮ Nonexistence results for classes of \(3 \times 3\) elliptic systems ⋮ On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II ⋮ Symmetry breaking for a class of semilinear elliptic problems ⋮ Nonexistence of positive solutions for a class of semilinear elliptic systems ⋮ Symmetry breaking of solutions of non-cooperative elliptic systems ⋮ The global solution set for a class of semilinear problems ⋮ Curves of sign-changing solutions for semilinear equations
Cites Work
- Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations
- On the global set of solutions of a nonlinear ODE: theoretical and numerical description
- An existence theorem for positive solutions of semilinear elliptic equations
- Symmetry and related properties via the maximum principle
- Symmetry breaking for a class of semilinear elliptic problems
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