A numerical investigation of sign-changing solutions to superlinear elliptic equations on symmetric domains
DOI10.1016/S0377-0427(00)00266-1zbMath0986.65112MaRDI QIDQ5939875
David Goldstein Costa, Zhonghai Ding, John M. Neuberger
Publication date: 28 May 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Dirichlet problemfinite element methodnumerical examplessign-changing solutionhigh-link algorithmmodified mountain pass algorithmnonlinear Poisson equationsuperlinear elliptic equation
Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (15)
Cites Work
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- The principle of symmetric criticality
- On a superlinear elliptic equation
- Critical point theory and Hamiltonian systems
- A sign-changing solution for a superlinear Dirichlet problem
- A mountain pass method for the numerical solution of semilinear wave equations
- Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
- On the existence of sign changing solutions for semilinear Dirichlet problems
- Infinite dimensional Morse theory and multiple solution problems
- Dual variational methods in critical point theory and applications
- Numerical mountain pass solutions of a suspension bridge equation
- A Note on the Topological Degree at a Critical Point of Mountainpass-Type
- Multiple critical points of invariant functionals and applications
- A Perturbation Method in Critical Point Theory and Applications
- A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
- A mountain pass method for the numerical solution of semilinear elliptic problems
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