Multiple solutions for quasilinear elliptic problems with nonlinear boundary conditions.
Existence of weak solutions for a nonuniformly elliptic nonlinear system in .
Existence of infinitely many solutions for degenerate and singular elliptic systems with indefinite concave nonlinearities.
Existence of solutions for a class of Kirchhoff type problems in Orlicz-Sobolev spaces
We consider Kirchhoff type problems of the form ⎧ -M(ρ(u))(div(a(|∇u|)∇u) - a(|u|)u) = K(x)f(u) in Ω ⎨ ⎩ ∂u/∂ν = 0 on ∂Ω where , N ≥ 3, is a smooth bounded domain, ν is the outward unit normal to ∂Ω, , M: [0,∞) → ℝ is a continuous function, , and f: ℝ → ℝ is a continuous function not satisfying the Ambrosetti-Rabinowitz type condition. Using variational methods, we obtain some existence and multiplicity results.
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