A handheld acoustic shock wave or pressure pulse applicator device has a body structure and an applicator head. The body structure has a proximal end and a distal end with a longitudinal axis extending between the ends. The applicator head is at the distal end. the head emits pressure pulses or shock waves at an inclined angle relative to the longitudinal axis of the body structure. The applicator head has a balloon or lens or membrane through which the emitted pressure pulses or shock waves pass. The lens or membrane is configured to be coupled directly or indirectly to an exposed soft tissue surface of a palate inside a patient's mouth to direct emitted pressure pulses or shock waves to the brain. The applicator device can be configured with the inclined obtuse angle fixed between 150 degrees and 90 degrees or can be adjustable between 180 degrees and 90 degrees.