Layered solutions with multiple asymptotes for non autonomous Allen-Cahn equations in \({\mathbb {R}^{3}}\)
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Publication:1942235
DOI10.1007/s00526-012-0495-2zbMath1266.35075OpenAlexW2047956630MaRDI QIDQ1942235
Francesca Alessio, Piero Montecchiari
Publication date: 18 March 2013
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-012-0495-2
Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for second-order elliptic equations (35J20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Semilinear elliptic equations (35J61)
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Existence of a heteroclinic solution for a double well potential equation in an infinite cylinder of $\mathbb{R}^{N}$ ⋮ The heteroclinic connection problem for general double-well potentials ⋮ Saddle solutions for bistable symmetric semilinear elliptic equations ⋮ Gradient Lagrangian systems and semilinear PDE ⋮ Complex dynamics in a ODE model related to phase transition ⋮ Existence of heteroclinic and saddle-type solutions for a class of quasilinear problems in whole ℝ2 ⋮ Existence of saddle-type solutions for a class of quasilinear problems in \(\mathbb{R}^2\) ⋮ Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation ⋮ Multiplicity of layered solutions for Allen-Cahn systems with symmetric double well potential ⋮ On the existence of dark solitons of the defocusing cubic nonlinear Schrödinger equation with periodic inhomogeneous nonlinearity ⋮ Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential
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