Nonlinear eigenvalue problem for a model equation of an elastic surface

A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces

“…, t > 0 and γ ≥ 1. The operator ∆ Φ arises in minimal surfaces theory for γ = 1 (see [19, page 128]) and nonlinear elasticity for γ > 1 (see [22]).…”

OnW1,pversusC1(Ω) local minimizers for functionals with critical growth

“…For details see [10][11][12]. In this article, we obtain uniform C 1, ðÞ estimates for one parameter family of problems (Q ) in Section 2.…”

Existence and uniqueness of weak solutions for a class of nonlinear parabolic equations

“…For details, see [10][11][12]. We remark that the equation in (1.1) contains the equations proposed in [19] and [13] as particular cases.…”