AbstractGivenΩany open and bounded subset of Rn,n⩾4, with smooth boundary and givenΣany (n−m)-dimensional compact submanifold ofΩwithout boundary,n>m>2, we prove the existence of weak solutions to the problem[formula]which are singular onΣ, whenpis a realp>m/(m−2), close to this value
The present article investigates the existence, multiplicity and regularity of weak solutions of pro...
We prove an existence result for strong solutions u ∈ W2,q (Ω) of singular semilinear elliptic probl...
AbstractLet Ω⊂Rn be a bounded Lipschitz domain with a cone-like corner at 0∈∂Ω. We prove existence o...
AbstractGivenΩany open and bounded subset of Rn,n⩾4, with smooth boundary and givenΣany (n−m)-dimens...
AbstractLet Ω be a bounded domain in RN, N⩾2, with smooth boundary ∂Ω. We construct positive weak so...
AbstractLet (M, g) be a C2 complete connected Riemannian manifold of dimension N ≥ 3 and Σ a compact...
In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose...
AbstractLet Ω be an open subset of RN, N ⩾ 3, containing 0. We consider the solutions of −Δu(x) + g(...
AbstractWe study the solutions of Δu = u ¦u¦q − 1, q > 1, that are singular at 0. We prove that ¦x¦2...
Let (M, g) be a smooth compact n-dimensional Riemannian manifold (n ≥2) with smooth (n − 1)- dimensi...
We study the asymptotic behavior, as γ tends to infinity, of solutions for the homogeneous Dirichlet...
AbstractWe prove that every positive function in C1(Sn), n⩾6, can be approximated in the C1(Sn) norm...
AbstractWe consider the following nonlinear elliptic equation with singular nonlinearity:Δu−1uα+a1uβ...
AbstractFor a given bounded domain Ω in Rn with C1,ϖ boundary for some 0<ϖ<1, and a possibly singula...
We study the asymptotic behavior, as $\gamma$ tends to infinity, of solutions for the homogeneous Di...
The present article investigates the existence, multiplicity and regularity of weak solutions of pro...
We prove an existence result for strong solutions u ∈ W2,q (Ω) of singular semilinear elliptic probl...
AbstractLet Ω⊂Rn be a bounded Lipschitz domain with a cone-like corner at 0∈∂Ω. We prove existence o...
AbstractGivenΩany open and bounded subset of Rn,n⩾4, with smooth boundary and givenΣany (n−m)-dimens...
AbstractLet Ω be a bounded domain in RN, N⩾2, with smooth boundary ∂Ω. We construct positive weak so...
AbstractLet (M, g) be a C2 complete connected Riemannian manifold of dimension N ≥ 3 and Σ a compact...
In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose...
AbstractLet Ω be an open subset of RN, N ⩾ 3, containing 0. We consider the solutions of −Δu(x) + g(...
AbstractWe study the solutions of Δu = u ¦u¦q − 1, q > 1, that are singular at 0. We prove that ¦x¦2...
Let (M, g) be a smooth compact n-dimensional Riemannian manifold (n ≥2) with smooth (n − 1)- dimensi...
We study the asymptotic behavior, as γ tends to infinity, of solutions for the homogeneous Dirichlet...
AbstractWe prove that every positive function in C1(Sn), n⩾6, can be approximated in the C1(Sn) norm...
AbstractWe consider the following nonlinear elliptic equation with singular nonlinearity:Δu−1uα+a1uβ...
AbstractFor a given bounded domain Ω in Rn with C1,ϖ boundary for some 0<ϖ<1, and a possibly singula...
We study the asymptotic behavior, as $\gamma$ tends to infinity, of solutions for the homogeneous Di...
The present article investigates the existence, multiplicity and regularity of weak solutions of pro...
We prove an existence result for strong solutions u ∈ W2,q (Ω) of singular semilinear elliptic probl...
AbstractLet Ω⊂Rn be a bounded Lipschitz domain with a cone-like corner at 0∈∂Ω. We prove existence o...
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