“This book is essentially based on the author’s doctoral thesis … . The book also contains an appendix and references. … The book could be used by graduate students and researchers working on such problems.” (Gheorghe Moroşanu, zbMATH 1526.35002, 2024)

• - 1. Introduction. - 2. Preliminaries. - Part I Main Part. - 3. Variable Bochner–Lebesgue Spaces. - 4. Solenoidal Variable Bochner–Lebesgue Spaces. - 5. Existence Theory for Lipschitz Domains. - Part II Extensions. - 6. Pressure Reconstruction. - 7. Existence Theory for Irregular Domains. - 8. Existence Theory for p- < 2. - 9. Appendix.

“This book is essentially based on the author’s doctoral thesis … . The book also contains an appendix and references. … The book could be used by graduate students and researchers working on such problems.” (Gheorghe Moroşanu, zbMATH 1526.35002, 2024)

• - 1. Introduction. - 2. Preliminaries. - Part I Main Part. - 3. Variable Bochner–Lebesgue Spaces. - 4. Solenoidal Variable Bochner–Lebesgue Spaces. - 5. Existence Theory for Lipschitz Domains. - Part II Extensions. - 6. Pressure Reconstruction. - 7. Existence Theory for Irregular Domains. - 8. Existence Theory for p- < 2. - 9. Appendix.

“This book is essentially based on the author’s doctoral thesis … . The book also contains an appendix and references. … The book could be used by graduate students and researchers working on such problems.” (Gheorghe Moroşanu, zbMATH 1526.35002, 2024)

• - 1. Introduction. - 2. Preliminaries. - Part I Main Part. - 3. Variable Bochner–Lebesgue Spaces. - 4. Solenoidal Variable Bochner–Lebesgue Spaces. - 5. Existence Theory for Lipschitz Domains. - Part II Extensions. - 6. Pressure Reconstruction. - 7. Existence Theory for Irregular Domains. - 8. Existence Theory for p- < 2. - 9. Appendix.