A note on the variational structure of an elliptic system involving critical Sobolev exponent.
Existence of solutions for some elliptic problems with critical Sobolev exponents.
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).
Teoria De Puntos Criticos De Funciones Localmente Lipschitzianas Y Sus Aplicaciones.
Operadores Integrales De Hammerstein, Su Espectro Y Aplicaciones.
Existencia De Multiples Soluciones De Un Problema Eliptico Con Parte Lineal En Resonancia Con El Primer Valor Propio.
On a nonlinear elliptic system: resonance and bifurcation cases
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.
On a fixed point theorem and applications to a two point boundary value problem
Nonzero and positive solutions of a superlinear elliptic system
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.
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