REGULARITY AND WEAK COMPARISON PRINCIPLES FOR DOUBLE PHASE QUASILINEAR ELLIPTIC EQUATIONS

Riey Giuseppe

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REGULARITY AND WEAK COMPARISON PRINCIPLES FOR DOUBLE PHASE QUASILINEAR ELLIPTIC EQUATIONS

机译：双相拟线性椭圆型方程的正则性和弱比较原理

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摘要

We consider the Euler equation of functionals involving a term of the formintegral(Omega)(vertical bar del u vertical bar(p) + a(x)vertical bar del u vertical bar(q)) dx,with 1 p q p + 1 and a(x) = 0. We prove weak comparison principle and summability results for the second derivatives of solutions.

机译：我们考虑涉及以下项的泛函的Euler方程：（1） =0。我们证明了弱二阶比较原理和可积性。

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来源
《Discrete and continuous dynamical systems》 |2019年第8期|4863-4873|共11页
作者
Riey Giuseppe;
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作者单位

Univ Calabria, Dipartimento Matemat & Informat, Via P Bucci, I-87036 Arcavacata Di Rende, CS, Italy;

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正文语种 eng
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Quasilinear elliptic equations; p-Laplace operator; regularity; comparison principle; double phase functionals;

机译：拟线性椭圆方程;p-Laplace算子;正则性;比较原理;双相泛函;

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专利

1. REGULARITY AND WEAK COMPARISON PRINCIPLES FOR DOUBLE PHASE QUASILINEAR ELLIPTIC EQUATIONS [J] . Riey Giuseppe Discrete and continuous dynamical systems . 2019,第8期

机译：双相Quasilinear椭圆方程的规律性和弱比较原理
2. Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions [J] . Tuoc Phan Nonlinear differential equations and applications: NoDEA . 2018,第2期

机译：具有非均值边界条件的Quasilinear椭圆方程的BMO弱解的规律性估计
3. INTERIOR C~(1,α) REGULARITY OF WEAK SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS [J] . FENGPING YAO, SHULIN ZHOU Discrete and continuous dynamical systems . 2016,第5期

机译：一类拟线性椭圆型方程弱解的内部C〜（1，α）正规性
4. Partial and full symmetry of solutions of quasilinear elliptic equations, via the Comparison Principle [C] . Patrizia Pucci, Berardino Sciunzi, James Serrin Conference on Perspectives in Nonlinear Partial Differential Equations . 2007

机译：通过比较原理，Quasilinear椭圆方程解决方案的局部和完全对称性
5. Partial regularity of weak solutions of quasilinear elliptic systems and weak Harnack inequalities. [D] . Borovikova, Marina. 2004

机译：拟线性椭圆系统的弱解的局部正则性和弱的Harnack不等式。
6. Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition [O] . Ülkü Dinlemez Kantar, Tülay Özden -1

机译：具有Robin边界条件的拟线性椭圆型方程的Lyapunov型不等式
7. Regularity and weak comparison principles for double phase quasilinear elliptic equations [O] . Giuseppe Riey 2019

机译：双相Quasilinear椭圆方程的规律性和弱比较原理
8. C(1 + Alpha) Local Regularity of Weak Solutions of Degenerate Elliptic Equations [R] . DiBenedetto, E. 1982

机译：退化椭圆型方程弱解的C（1 + alpha）局部正则性

REGULARITY AND WEAK COMPARISON PRINCIPLES FOR DOUBLE PHASE QUASILINEAR ELLIPTIC EQUATIONS

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