We consider a partially overdetermined problem in a sectorlike domain Ω in a cone Σ in RN,
N≥ 2, and prove a rigidity result of Serrin type by showing that the existence of a solution …

We consider overdetermined problems of Serrin's type in convex cones for (possibly)
degenerate operators in the Euclidean space as well as for a suitable generalization to …

Asymptotic analysis and sign-changing bubble towers for Lane–Emden problems Page 1
DOI 10.4171/JEMS/549 J. Eur. Math. Soc. 17, 2037–2068 c European Mathematical Society …

Let Ω cy {N be a bounded domain with smooth boundary 3Ω= Γ0 u Γ15 where Γ0 and Γχ are
disjoint smooth submanifolds of dimension Nl. Let/e C1^, 5R) be a function of critical growth …

High-energy positive solutions for a critical growth Dirichlet problem in noncontractible
domains - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

We study the existence of positive weak solutions for the following problem:− Δ u+ α (x) u=∫
Ω F (y, u)| x− y| μ 1 dyf (x, u) in Ω,∂ u∂ η+ β u=∫∂ Ω G (y, u)| x− y| μ 2 d ν g (x, u) on∂ Ω …

Let $\Omega $ be a bounded domain in ${\mathbb {R}^ n} $$(n\geq 3) $ and $\lambda> 0$.
We consider\[\begin {array}{*{20}{c}}{-\Delta u+\lambda u={u^{(n+ 2)/(n-2)}}} & {{\text …

Yamabe equations on half-spaces Page 1 Nonlinear Analysis 37 (1999) 161–186 Yamabe
equations on half-spaces Gabriele Bianchia;∗, Xing-Bin Panb a Dipartimento di Matematica …

The aim of this paper is to study a nonlocal problem with a mixed Dirichlet-Neumann exterior
condition. We prove existence, nonexistence and multiplicity of positive energy solutions …

This paper concerns elliptic problems involving supercritical Sobolev growth without the
(AR) condition and with a mixed boundary Dirichlet-Neumann type condition. The conditions …