The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations.
Counterexamples to Some Conjectures on the Number of Solutions on Nonlinear Equations.
A new degree for -invariant gradient mappings and applications
Finite Morse index solutions of exponential problems
On the existence of two-dimensional invariant tori for scalar parabolic equations with time periodic coefficients
A minimization problem associated with elliptic systems of Fitz–Hugh–Nagumo type
On stable solutions of quasilinear periodic-parabolic problems
Classification of homotopy classes of equivariant gradient maps
Let V be an orthogonal representation of a compact Lie group G and let S(V),D(V) be the unit sphere and disc of V, respectively. If F: V → ℝ is a G-invariant C¹-map then the G-equivariant gradient C⁰-map ∇F: V → V is said to be admissible provided that . We classify the homotopy classes of admissible G-equivariant gradient maps ∇F: (D(V),S(V)) → (V,V∖0).
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