466 research outputs found
Preface to the special issue ‘‘Variational Analysis and Its Applications’’
No full textVariational analysis has been well recognized as an active field of mathematical (particularly nonlinear) analysis with a number of fruitful applications to other areas of mathematics, engineering, economics, and applied sciences. It is mainly based on variational principles as well as on perturbation and approximations ideas developed in broad frameworks. On one hand, this optimization-related area can be considered as an outgrowth of the classical calculus of variations, optimal control, and mathematical programming. On the other hand, it applies variational principles and techniques to a large spectrum of problems, which may not be of any variational/optimization nature
A view on Liouville theorems in PDEs
Get PDFOur review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities
An application of Kato’s inequality to quasilinear elliptic problems
No full textLet L be a general second order differential elliptic operator.
By using a quasilinear version of Kato’s inequality, we prove that the
only weak solution of the problem
L(u) = |u|^(q−1) u
on
RN ,
q > p − 1,
is u = 0. Here p ≥ 1 is related to L
Some remarks on the asymptotic behaviour of the solutions of second order evolution equations
No full text
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