Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main
reasons. First, on the surface it appears trivial, merely a change of variables and an …

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Page 1 |MEMOIRS Of the American Mathematical Society Number 668 Realization of Vector
Fields and Dynamics of Spatially Homogeneous Parabolic Equations EN Dancer P. Polačik …

In this work, we are concerned with the multiplicity of the eigenvalues of the Neumann
Laplacian in regions of ℝ n which are invariant under the natural action of a compact …

In this paper, we establish a kind of splitting theorem for the eigenvalues of a specific family
of operators on the base of a warped product. As a consequence, we prove a density …

We study heat equations $\partial_t u+ Lu= 0$ on bounded Lipschitz domains $\Omega $,
where $ L=-\operatorname {div}(A\nabla\;\cdot\;) $ is a second-order uniformly elliptic …

<noindent Electronic Journal of Differential Equations , Vol . 2004 ( 2004 ) , No . 1 14 , pp . 1
-- 2 1 ISSN : 1 72 - 6691 . Page 1 <noindent Electronic Journal of Differential Equations , Vol …

We establish the existence of analytic curves of eigenvalues for the Laplace–Neumann
operator through an analytic variation of the metric of a compact Riemannian manifold M …

In this work we show that the eigenvalues of the Dirichlet problem for the biharmonic
operator are generically simple in the set of ℤ2‐symmetric regions of ℝn, n⩾ 2, with a …

We study global bifurcation of weak solutions of systems of elliptic differential equations
considered on SO (2)-invariant domains. We formulate sufficient conditions for the existence …