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Solutions of \(p\)-sublinear \(p\)-Laplacian equation via Morse theory. (English) Zbl 1161.35405
Summary: By using Morse theory, we study the existence and multiplicity of nontrivial solutions for a class of \(p\)-sublinear \(p\)-Laplacian elliptic equations.

MSC:
35J65 Nonlinear boundary value problems for linear elliptic equations
49K20 Optimality conditions for problems involving partial differential equations
35J40 Boundary value problems for higher-order elliptic equations
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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