Work

Boundedness and Hölder continuity of weak solutions of the nonlinear boundary-value problem for elliptic equations with general nonstandard growth conditions

Year: 2024

Type: article

Abstract: We study a nonlinear boundary-value problem for elliptic equations with critical growth conditions involving Lebesgue measurable functions. We prove global boundedness and Hölder continuity of weak solutions for this problem. Our results generalize the ones obtained by P. Winkert and his colleagues (2012) not only in the variable exponent case but also in the constant exponent case.

Source: Mathematica Bohemica

DOI: 10.21136/mb.2024.0166-23

Authors: Gumpyong Ri, Dukman Ri

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402419415

FWCI: 0.781

Cites:

Cited by: 1

Related to: 10