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Review

2019

Review

2019

Recent research in inverse problems seeks to develop a mathematically coherent foundation for combining data-driven models, and… Expand

Review

2019

Review

2019

Deep learning (DL) is playing an increasingly important role in our lives. It has already made a huge impact in areas, such as… Expand

Review

2018

Review

2018

This book intends to deepen the study of the fractional calculus, giving special emphasis to variable-order operators. It is… Expand

Highly Cited

2012

Highly Cited

2012

This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self… Expand

Highly Cited

2007

Highly Cited

2007

Measure Theory and Lp Spaces.- Measures.- Lp Spaces.- The Direct Method and Lower Semicontinuity.- The Direct Method and Lower… Expand

Highly Cited

1999

Highly Cited

1999

This is a self-contained paper which introduces a fundamental problem in the calculus of variations, the problem of finding… Expand

Highly Cited

1984

Highly Cited

1984

Abstract We present here a new method for solving minimization problems in unbounded domains. We first derive a general principle… Expand

Highly Cited

1984

Highly Cited

1984

Soit f:R 3 →R une fonction deux fois continument differentiable et pour u∈W 1,1 (a, b): F(u; a, b)=∫ a b f(x, u(x), u'(x))dx. Si… Expand

Highly Cited

1983

Highly Cited

1983

1. Regular Variational Integrals.- 2. Finite Elasticity and Weak Diffeomorphisms.- 3. The Dirichlet Integral in Sobolev Spaces… Expand

Highly Cited

1966

Highly Cited

1966

Semi-classical results.- The spaces Hmp and Hmp0.- Existence theorems.- Differentiability of weak solutions.- Regularity theorems… Expand