Multiple solutions of some semilinear elliptic equations in slender cylindrical domains
DOI10.1016/0022-0396(92)90113-2zbMath0816.35034OpenAlexW2018106129MaRDI QIDQ1205272
Ignacio E. Parra, José M. Vega
Publication date: 1 April 1993
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(92)90113-2
maximum principlescylindrical domainsemilinear elliptic boundary value problemmethod of sub- and super-solutions
Nonlinear boundary value problems for linear elliptic equations (35J65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32)
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Cites Work
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- The asymptotic behavior of the solutions of some semilinear elliptic equations in cylindrical domains
- Semilinear elliptic singular perturbation problems with nonuniform interior behavior
- Normal hyperbolicity of center manifolds and Saint-Venant's principle
- Remarks on an S-shaped bifurcation curve
- A reduction principle for nonautonomous systems in infinite-dimensional spaces
- Global bifurcation of steady-state solutions
- Symmetry and related properties via the maximum principle
- Geometric theory of semilinear parabolic equations
- Phase-plane solutions to some singular perturbation problems
- On the bounded solutions of a semilinear elliptic equation in a strip
- Wave-solutions of reversible systems and applications
- Linear and quasilinear elliptic equations
- On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems
- Slowly Varying Phase Planes and Boundary-Layer Theory
- Symmetry of solitary waves
- Non-negative solutions for a class of non-positone problems
- S-shaped bifurcation curves
- On multiple positive solutions of nonlinear elliptic eigenvalue problems
- On the Existence of Positive Solutions of Semilinear Elliptic Equations
- Equivalent Norms for Sobolev Spaces
- Properties of solutions of ordinary differential equations in banach space
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