Let Ω be a bounded domain in Rn with n ≥ 3. In this paper we are concerned with the problem of finding u ∈ H0 1 (Ω) satisfying the nonlinear elliptic problems Δu + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, and Δu + u + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, when of f ∈ L∞(Ω).
In this paper we consider an elliptic system at resonance and bifurcation type with zero Dirichlet condition. We use a Lyapunov-Schmidt approach and we will give applications to Biharmonic Equations.
In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.
Page 1