Regularity of Weak Solutions to Elliptic Problem with Irregular Data
Keyword(s):
This paper is concerned with the study of the nonlinear elliptic equations in a bounded subset Ω ⊂ RN Au = f, where A is an operator of Leray-Lions type acted from the space W1,p(·)0(Ω) into its dual. when the second term f belongs to Lm(·), with m(·) > 1 being small. we prove existence and regularity of weak solutions for this class of problems p(x)-growth conditions. The functional framework involves Sobolev spaces with variable exponents as well as Lebesgue spaces with variable exponents.
2013 ◽
Vol 58
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pp. 1431-1447
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2021 ◽
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pp. 277-298
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1971 ◽
Vol 77
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pp. 151-157
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2011 ◽
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pp. 369-405
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pp. 293-305
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2000 ◽
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pp. 313-318
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