Soft materials are materials with a low shear modulus relative to their bulk modulus and
where elastic restoring forces are mainly of entropic origin. A sparse population of strong …

Cavitation phenomena in nonlinearly elastic solids have been the subject of extensive
investigation in recent years. The impetus for much of these theoretical developments has …

This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

This classic offers a meticulous account of the theory of finite elasticity. It covers the
application of the theory to the solution of boundary-value problems, as well as the analysis …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

1. Introduction.............................. 13 2. Internally Twinned Martensite...................... 15 3. The
Free Energy Functional and Minima................. 17 4. Compatibility, Almost Compatibility and …

This paper focuses on the study of multiplicity and concentration phenomena of positive
solutions for the singularly perturbed double phase problem with nonlocal Choquard …

Mechanics is a branch of physics studying motion. The history of mechanics, as well as the
history of other branches of science, is a history of attempts to explain the world by means of …

In this paper we are concerned with a class of double phase energy functionals arising in
the theory of transonic flows. Their main feature is that the associated Euler equation is …

Variational problems for the multiple integral I Ω (u)=∝ Ω g (▽ u (x)) dx, where Ω⊂ R m and
u: Ω→ R n are studied. A new condition on g, called W 1, p-quasiconvexity is introduced …