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This investigation shows existence and maximal regularity of solutions in nonlinear equations, highlighting implications for understanding unbounded domains.
This paper investigates a nonlinear singular third‐order equation with an unbounded coefficient at infinity. The existence and ‐maximal regularity of solutions to the nonlinear equation are established. The method of ‐regularization is applied in proving the existence of solutions. This approach has proven effective in the case of an unbounded domain with an unbounded coefficient.
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Muratbekov et al. (2026) studied this question.
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