On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains

DOI10.1007/s11784-016-0349-1zbMath1366.35024OpenAlexW2548024922MaRDI QIDQ523330

Juan Dávila, Michel Chipot, Manuel A. del Pino

Publication date: 20 April 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0349-1

zbMATH Keywords

asymptotic behaviorsemilinear elliptic equationspositive solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Semilinear elliptic equations (35J61)

Related Items (3)

On fractional Poincaré inequality for unbounded domains with finite ball conditions: counter example ⋮ Anisotropic p-Laplace Equations on long cylindrical domain ⋮ Nonlocal dispersal equations in domains becoming unbounded

Cites Work

• On some variational problems set on domains tending to infinity
• Solutions of the Allen-Cahn equation which are invariant under screw-motion
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• On the asymptotic behaviour of some problems of the calculus of variations
• Solutions of the fractional Allen–Cahn equation which are invariant under screw motion
• Asymptotic Issues for Some Partial Differential Equations
• Remarks on sublinear elliptic equations
• On multiple positive solutions of nonlinear elliptic eigenvalue problems
• ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTION OF ELLIPTIC PROBLEMS IN CYLINDRICAL DOMAINS BECOMING UNBOUNDED
• ℓ GOES TO PLUS INFINITY : AN UPDATE
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