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Existence of solutions to a class of elliptic equations with nonstandard growth condition and zero order term
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The existence of bounded weak solutions, to a class of nonlinear elliptic equations with variable exponents, is investigated in this article. A uniform a priori estimate is obtained by the De Giorgi iterative technique. Thanks to the weak convergence method and Minty's trick, the existence result is proved through limit process.
Key words: Elliptic equations; variable exponents; De Giorgi iteration; Minty's trick
Zhongqing LI . Existence of solutions to a class of elliptic equations with nonstandard growth condition and zero order term[J]. Frontiers of Mathematics in China, 2023 , 18(1) : 43 -50 . DOI: 10.3868/S140-DDD-023-002-X
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