Dick,
This is a common problem discussed on several other boards. Evidently Volvo used to have a core replacement (still expensive) but quit doing it. You'll be hard pressed to find good replacements on eBay, etc. Volvo used an environmentally friendly glue and this is the result. The passenger side on my S70 is just starting up and I assume like most others it's a matter of time before the other 3 will start to pucker too. The best solution I've heard it to take the panels off and let a good upholsery shop put another covering on them. This way you have a choice, such as swede and it could look really nice. Probably cheapest this way too. Good luck.
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1998 S70 T5 Emarald Green Metallic, 2004 V70 2.5T Ruby Red, Previous Owner of Black '94 850 Turbo Wagon. My cars have been running so well lately they've got me worried.